100012112111200 has 72 divisors (see below), whose sum is σ = 244156060980720. Its totient is φ = 40004600332800.

The previous prime is 100012112111189. The next prime is 100012112111203. The reversal of 100012112111200 is 2111211210001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012112111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189591810 + ... + 190118590.

It is an arithmetic number, because the mean of its divisors is an integer number (3391056402510).

Almost surely, 2^{100012112111200} is an apocalyptic number.

100012112111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012112111200 is an abundant number, since it is smaller than the sum of its proper divisors (144143948869520).

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

100012112111200 is a wasteful number, since it uses less digits than its factorization.

100012112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764120 (or 764107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100012112111200 its reverse (2111211210001), we get a palindrome (102123323321201).

The spelling of 100012112111200 in words is "one hundred trillion, twelve billion, one hundred twelve million, one hundred eleven thousand, two hundred".