101012220112120 has 64 divisors (see below), whose sum is σ = 239475639780000. Its totient is φ = 38240527615488.

The previous prime is 101012220112103. The next prime is 101012220112123. The reversal of 101012220112120 is 21211022210101.

It is a super-2 number, since 2×101012220112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012220112094 and 101012220112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012220112123) 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, 64832695 + ... + 66372454.

Almost surely, 2^{101012220112120} is an apocalyptic number.

101012220112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012220112120 is an abundant number, since it is smaller than the sum of its proper divisors (138463419667880).

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

101012220112120 is a wasteful number, since it uses less digits than its factorization.

101012220112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131206192 (or 131206188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101012220112120 its reverse (21211022210101), we get a palindrome (122223242322221).

The spelling of 101012220112120 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".