10112100002100 has 72 divisors (see below), whose sum is σ = 32508528904320. Its totient is φ = 2696559999840.

The previous prime is 10112100002089. The next prime is 10112100002119. The reversal of 10112100002100 is 120000121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872608412 + ... + 1872613811.

Almost surely, 2^{10112100002100} is an apocalyptic number.

10112100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112100002100 is an abundant number, since it is smaller than the sum of its proper divisors (22396428902220).

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

10112100002100 is a wasteful number, since it uses less digits than its factorization.

10112100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745222246 (or 3745222233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112100002100 its reverse (120000121101), we get a palindrome (10232100123201).

The spelling of 10112100002100 in words is "ten trillion, one hundred twelve billion, one hundred million, two thousand, one hundred".