100112222100000 has 288 divisors, whose sum is σ = 358333326574272. Its totient is φ = 24269628800000.

The previous prime is 100112222099971. The next prime is 100112222100071. The reversal of 100112222100000 is 1222211001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11868519 + ... + 18468518.

It is an arithmetic number, because the mean of its divisors is an integer number (1244212939494).

Almost surely, 2^{100112222100000} is an apocalyptic number.

100112222100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112222100000 is an abundant number, since it is smaller than the sum of its proper divisors (258221104474272).

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

100112222100000 is an equidigital number, since it uses as much as digits as its factorization.

100112222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30337086 (or 30337058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112222100000 its reverse (1222211001), we get a palindrome (100113444311001).

The spelling of 100112222100000 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand".