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10121012010120 = 23351123941935393
BaseRepresentation
bin1001001101000111101101…
…0100110101110010001000
31022211120002201200022020010
42103101323110311302020
52311310313033310440
633305310112231520
72063135053431444
oct223217324656210
938746081608203
1010121012010120
11325232a475340
12117562a53b5a0
1358553abc653b
1426dc06a2b824
1512840db9d580
hex9347b535c88

10121012010120 has 256 divisors, whose sum is σ = 34568102246400. Its totient is φ = 2346585866240.

The previous prime is 10121012010119. The next prime is 10121012010133. The reversal of 10121012010120 is 2101021012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10121012010096 and 10121012010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285943144 + ... + 285978536.

It is an arithmetic number, because the mean of its divisors is an integer number (135031649400).

Almost surely, 210121012010120 is an apocalyptic number.

10121012010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284051123200).

10121012010120 is an abundant number, since it is smaller than the sum of its proper divisors (24447090236280).

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

10121012010120 is a wasteful number, since it uses less digits than its factorization.

10121012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44860 (or 44856 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121012010120 its reverse (2101021012101), we get a palindrome (12222033022221).

The spelling of 10121012010120 in words is "ten trillion, one hundred twenty-one billion, twelve million, ten thousand, one hundred twenty".