101202112211112 has 96 divisors (see below), whose sum is σ = 304647867931680. Its totient is φ = 30088678289280.

The previous prime is 101202112211087. The next prime is 101202112211129. The reversal of 101202112211112 is 211112211202101.

It is a happy number.

101202112211112 is a `hidden beast` number, since 1 + 0 + 120 + 211 + 221 + 1 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205433918 + ... + 1205517869.

It is an arithmetic number, because the mean of its divisors is an integer number (3173415290955).

Almost surely, 2^{101202112211112} is an apocalyptic number.

101202112211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202112211112 is an abundant number, since it is smaller than the sum of its proper divisors (203445755720568).

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

101202112211112 is a wasteful number, since it uses less digits than its factorization.

101202112211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410951863 (or 2410951856 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101202112211112 its reverse (211112211202101), we get a palindrome (312314323413213).

The spelling of 101202112211112 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".