100020734138052 has 216 divisors, whose sum is σ = 330556800764736. Its totient is φ = 24827383028736.

The previous prime is 100020734138041. The next prime is 100020734138071. The reversal of 100020734138052 is 250831437020001.

100020734138052 is a `hidden beast` number, since 100 + 0 + 20 + 73 + 41 + 380 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100020734137998 and 100020734138016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51875658 + ... + 53769185.

It is an arithmetic number, because the mean of its divisors is an integer number (1530355559096).

Almost surely, 2^{100020734138052} is an apocalyptic number.

100020734138052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020734138052 is an abundant number, since it is smaller than the sum of its proper divisors (230536066626684).

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

100020734138052 is a wasteful number, since it uses less digits than its factorization.

100020734138052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105644907 (or 105644885 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100020734138052 in words is "one hundred trillion, twenty billion, seven hundred thirty-four million, one hundred thirty-eight thousand, fifty-two".