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1010101102120 = 235113174054333
BaseRepresentation
bin11101011001011101011…
…01111010011000101000
310120120020200102120122101
432230232231322120220
5113022141340231440
62052011204103144
7132656150463235
oct16545655723050
93516220376571
101010101102120
1135a421814480
12143920994ab4
1374337bc4346
1436c63ba678c
151b41d44569a
hexeb2eb7a628

1010101102120 has 64 divisors (see below), whose sum is σ = 2559317783040. Its totient is φ = 355460793600.

The previous prime is 1010101102103. The next prime is 1010101102183. The reversal of 1010101102120 is 212011010101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010101102097 and 1010101102106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37013527 + ... + 37040806.

It is an arithmetic number, because the mean of its divisors is an integer number (39989340360).

Almost surely, 21010101102120 is an apocalyptic number.

1010101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010101102120 is an abundant number, since it is smaller than the sum of its proper divisors (1549216680920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010101102120 is a wasteful number, since it uses less digits than its factorization.

1010101102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74054386 (or 74054382 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010101102120 its reverse (212011010101), we get a palindrome (1222112112221).

The spelling of 1010101102120 in words is "one trillion, ten billion, one hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 74054333 148108666 296217332 370271665 592434664 740543330 814597663 1481086660 1629195326 2295684323 2962173320 3258390652 4072988315 4591368646 6516781304 8145976630 9182737292 11478421615 16291953260 18365474584 22956843230 25252527553 32583906520 45913686460 50505055106 91827372920 101010110212 126262637765 202020220424 252525275530 505050551060 1010101102120