101121220112112 has 90 divisors (see below), whose sum is σ = 290854311038928. Its totient is φ = 32796071323776.

The previous prime is 101121220112071. The next prime is 101121220112117. The reversal of 101121220112112 is 211211022121101.

It is a happy number.

101121220112112 is a `hidden beast` number, since 101 + 121 + 220 + 11 + 211 + 2 = 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 (101121220112117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 256278648 + ... + 256672919.

Almost surely, 2^{101121220112112} is an apocalyptic number.

101121220112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121220112112 is an abundant number, since it is smaller than the sum of its proper divisors (189733090926816).

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

101121220112112 is a wasteful number, since it uses less digits than its factorization.

101121220112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512951655 (or 512951609 counting only the distinct ones).

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

Adding to 101121220112112 its reverse (211211022121101), we get a palindrome (312332242233213).

The spelling of 101121220112112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred twelve".