101022112202112 has 48 divisors (see below), whose sum is σ = 290701651001580. Its totient is φ = 33674037400320.

The previous prime is 101022112202021. The next prime is 101022112202113. The reversal of 101022112202112 is 211202211220101.

101022112202112 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 1 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101022112202112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022112202113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43846401714 + ... + 43846404017.

Almost surely, 2^{101022112202112} is an apocalyptic number.

101022112202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022112202112 is an abundant number, since it is smaller than the sum of its proper divisors (189679538799468).

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

101022112202112 is an equidigital number, since it uses as much as digits as its factorization.

101022112202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87692805751 (or 87692805736 counting only the distinct ones).

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

Adding to 101022112202112 its reverse (211202211220101), we get a palindrome (312224323422213).

The spelling of 101022112202112 in words is "one hundred one trillion, twenty-two billion, one hundred twelve million, two hundred two thousand, one hundred twelve".