101202120221112 has 64 divisors (see below), whose sum is σ = 281120270112000. Its totient is φ = 33733647734112.

The previous prime is 101202120221107. The next prime is 101202120221119. The reversal of 101202120221112 is 211122021202101.

101202120221112 is a `hidden beast` number, since 1 + 0 + 120 + 212 + 0 + 221 + 112 = 666.

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 (101202120221119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16193839 + ... + 21555617.

It is an arithmetic number, because the mean of its divisors is an integer number (4392504220500).

Almost surely, 2^{101202120221112} is an apocalyptic number.

101202120221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202120221112 is an abundant number, since it is smaller than the sum of its proper divisors (179918149890888).

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

101202120221112 is a wasteful number, since it uses less digits than its factorization.

101202120221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449177 (or 5449167 counting only the distinct ones).

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

Adding to 101202120221112 its reverse (211122021202101), we get a palindrome (312324141423213).

The spelling of 101202120221112 in words is "one hundred one trillion, two hundred two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twelve".