100111001122112 has 56 divisors (see below), whose sum is σ = 200627904153600. Its totient is φ = 49559104217600.

The previous prime is 100111001122091. The next prime is 100111001122129. The reversal of 100111001122112 is 211221100111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767851553 + ... + 767981919.

It is an arithmetic number, because the mean of its divisors is an integer number (3582641145600).

Almost surely, 2^{100111001122112} is an apocalyptic number.

It is an amenable number.

100111001122112 is an abundant number, since it is smaller than the sum of its proper divisors (100516903031488).

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

100111001122112 is a wasteful number, since it uses less digits than its factorization.

100111001122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249279 (or 249269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111001122112 its reverse (211221100111001), we get a palindrome (311332101233113).

The spelling of 100111001122112 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty-two thousand, one hundred twelve".