101200021100112 has 80 divisors (see below), whose sum is σ = 285539989271040. Its totient is φ = 30630121468800.

The previous prime is 101200021100027. The next prime is 101200021100153. The reversal of 101200021100112 is 211001120002101.

It is a super-2 number, since 2×101200021100112² (a number of 29 digits) contains 22 as substring.

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, 113780314 + ... + 114666297.

It is an arithmetic number, because the mean of its divisors is an integer number (3569249865888).

Almost surely, 2^{101200021100112} is an apocalyptic number.

101200021100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200021100112 is an abundant number, since it is smaller than the sum of its proper divisors (184339968170928).

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

101200021100112 is a wasteful number, since it uses less digits than its factorization.

101200021100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228447472 (or 228447466 counting only the distinct ones).

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

Adding to 101200021100112 its reverse (211001120002101), we get a palindrome (312201141102213).

The spelling of 101200021100112 in words is "one hundred one trillion, two hundred billion, twenty-one million, one hundred thousand, one hundred twelve".