101111002122112 has 32 divisors (see below), whose sum is σ = 203426451541800. Its totient is φ = 50054951539200.

The previous prime is 101111002122107. The next prime is 101111002122133. The reversal of 101111002122112 is 211221200111101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3910530162 + ... + 3910556017.

Almost surely, 2^{101111002122112} is an apocalyptic number.

It is an amenable number.

101111002122112 is an abundant number, since it is smaller than the sum of its proper divisors (102315449419688).

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

101111002122112 is an equidigital number, since it uses as much as digits as its factorization.

101111002122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821086294 (or 7821086282 counting only the distinct ones).

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

Adding to 101111002122112 its reverse (211221200111101), we get a palindrome (312332202233213).

The spelling of 101111002122112 in words is "one hundred one trillion, one hundred eleven billion, two million, one hundred twenty-two thousand, one hundred twelve".