101202100022112 has 96 divisors (see below), whose sum is σ = 266980680892800. Its totient is φ = 33565837240320.

The previous prime is 101202100022083. The next prime is 101202100022147. The reversal of 101202100022112 is 211220001202101.

101202100022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101202100022091 and 101202100022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81399583 + ... + 82633505.

It is an arithmetic number, because the mean of its divisors is an integer number (2781048759300).

Almost surely, 2^{101202100022112} is an apocalyptic number.

101202100022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202100022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133490340446400).

101202100022112 is an abundant number, since it is smaller than the sum of its proper divisors (165778580870688).

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

101202100022112 is a wasteful number, since it uses less digits than its factorization.

101202100022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238196 (or 1238188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202100022112 its reverse (211220001202101), we get a palindrome (312422101224213).

The spelling of 101202100022112 in words is "one hundred one trillion, two hundred two billion, one hundred million, twenty-two thousand, one hundred twelve".