101022102112 has 24 divisors (see below), whose sum is σ = 199626638400. Its totient is φ = 50323273344.

The previous prime is 101022102109. The next prime is 101022102131. The reversal of 101022102112 is 211201220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022102092 and 101022102101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5859312 + ... + 5876527.

It is an arithmetic number, because the mean of its divisors is an integer number (8317776600).

Almost surely, 2^101022102112 is an apocalyptic number.

It is an amenable number.

101022102112 is a deficient number, since it is larger than the sum of its proper divisors (98604536288).

101022102112 is a wasteful number, since it uses less digits than its factorization.

101022102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736118 (or 11736110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022102112 its reverse (211201220101), we get a palindrome (312223322213).

The spelling of 101022102112 in words is "one hundred one billion, twenty-two million, one hundred two thousand, one hundred twelve".