100120012001112 has 32 divisors (see below), whose sum is σ = 263473715793600. Its totient is φ = 31616845894944.

The previous prime is 100120012001083. The next prime is 100120012001153. The reversal of 100120012001112 is 211100210021001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109780714458 + ... + 109780715369.

It is an arithmetic number, because the mean of its divisors is an integer number (8233553618550).

Almost surely, 2^{100120012001112} is an apocalyptic number.

100120012001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120012001112 is an abundant number, since it is smaller than the sum of its proper divisors (163353703792488).

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

100120012001112 is a wasteful number, since it uses less digits than its factorization.

100120012001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219561429855 (or 219561429851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120012001112 its reverse (211100210021001), we get a palindrome (311220222022113).

The spelling of 100120012001112 in words is "one hundred trillion, one hundred twenty billion, twelve million, one thousand, one hundred twelve".