100112122012200 has 96 divisors (see below), whose sum is σ = 311236826964000. Its totient is φ = 26620071356160.

The previous prime is 100112122012153. The next prime is 100112122012247. The reversal of 100112122012200 is 2210221211001.

It is an interprime number because it is at equal distance from previous prime (100112122012153) and next prime (100112122012247).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100112122012200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238835782 + ... + 239254581.

It is an arithmetic number, because the mean of its divisors is an integer number (3242050280875).

Almost surely, 2^{100112122012200} is an apocalyptic number.

100112122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112122012200 is an abundant number, since it is smaller than the sum of its proper divisors (211124704951800).

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

100112122012200 is a wasteful number, since it uses less digits than its factorization.

100112122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478090731 (or 478090722 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100112122012200 its reverse (2210221211001), we get a palindrome (102322343223201).

The spelling of 100112122012200 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, two hundred".