101001100022112 has 96 divisors (see below), whose sum is σ = 265613402970720. Its totient is φ = 33605399347200.

The previous prime is 101001100022083. The next prime is 101001100022213. The reversal of 101001100022112 is 211220001100101.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352552464 + ... + 352838832.

It is an arithmetic number, because the mean of its divisors is an integer number (2766806280945).

Almost surely, 2^{101001100022112} is an apocalyptic number.

101001100022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001100022112 is an abundant number, since it is smaller than the sum of its proper divisors (164612302948608).

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

101001100022112 is a wasteful number, since it uses less digits than its factorization.

101001100022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293096 (or 293088 counting only the distinct ones).

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

Adding to 101001100022112 its reverse (211220001100101), we get a palindrome (312221101122213).

The spelling of 101001100022112 in words is "one hundred one trillion, one billion, one hundred million, twenty-two thousand, one hundred twelve".