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101200200001212 = 22313431031423102931
BaseRepresentation
bin10111000000101010000001…
…111110001110011010111100
3111021022122101221100202100110
4113000222001332032122330
5101231031002200014322
6555122421410030020
730213321203626224
oct2700520176163274
9437278357322313
10101200200001212
112a277844687124
12b42533a278310
1344611a3cb8660
141adc189b1d084
15ba76b1d14c0c
hex5c0a81f8e6bc

101200200001212 has 192 divisors, whose sum is σ = 262925363757056. Its totient is φ = 30097627902720.

The previous prime is 101200200001139. The next prime is 101200200001213. The reversal of 101200200001212 is 212100002002101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200200001213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983133387 + ... + 983236317.

Almost surely, 2101200200001212 is an apocalyptic number.

101200200001212 is a gapful number since it is divisible by the number (12) 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 101200200001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131462681878528).

101200200001212 is an abundant number, since it is smaller than the sum of its proper divisors (161725163755844).

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

101200200001212 is a wasteful number, since it uses less digits than its factorization.

101200200001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104520 (or 104518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200200001212 its reverse (212100002002101), we get a palindrome (313300202003313).

The spelling of 101200200001212 in words is "one hundred one trillion, two hundred billion, two hundred million, one thousand, two hundred twelve".