100103012112000 has 256 divisors, whose sum is σ = 335063263691520. Its totient is φ = 26434968883200.

The previous prime is 100103012111929. The next prime is 100103012112001. The reversal of 100103012112000 is 211210301001.

It is a super-2 number, since 2×100103012112000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100103012112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5179687 + ... + 15067686.

It is an arithmetic number, because the mean of its divisors is an integer number (1308840873795).

Almost surely, 2^{100103012112000} is an apocalyptic number.

100103012112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103012112000 is an abundant number, since it is smaller than the sum of its proper divisors (234960251579520).

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

100103012112000 is a wasteful number, since it uses less digits than its factorization.

100103012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20247508 (or 20247486 counting only the distinct ones).

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

Adding to 100103012112000 its reverse (211210301001), we get a palindrome (100314222413001).

The spelling of 100103012112000 in words is "one hundred trillion, one hundred three billion, twelve million, one hundred twelve thousand".