101102201222112 has 72 divisors (see below), whose sum is σ = 292934090141784. Its totient is φ = 33064870834944.

The previous prime is 101102201222101. The next prime is 101102201222123. The reversal of 101102201222112 is 211222102201101.

101102201222112 is a `hidden beast` number, since 1 + 0 + 110 + 220 + 1 + 222 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (101102201222101) and next prime (101102201222123).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3311770678 + ... + 3311801205.

It is an arithmetic number, because the mean of its divisors is an integer number (4068529029747).

Almost surely, 2^{101102201222112} is an apocalyptic number.

101102201222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102201222112 is an abundant number, since it is smaller than the sum of its proper divisors (191831888919672).

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

101102201222112 is a wasteful number, since it uses less digits than its factorization.

101102201222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623571952 (or 6623571941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101102201222112 its reverse (211222102201101), we get a palindrome (312324303423213).

The spelling of 101102201222112 in words is "one hundred one trillion, one hundred two billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".