101122211201120 has 24 divisors (see below), whose sum is σ = 238901223963024. Its totient is φ = 40448884480384.

The previous prime is 101122211201101. The next prime is 101122211201147. The reversal of 101122211201120 is 21102112221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316006909844 + ... + 316006910163.

It is an arithmetic number, because the mean of its divisors is an integer number (9954217665126).

Almost surely, 2^{101122211201120} is an apocalyptic number.

101122211201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122211201120 is an abundant number, since it is smaller than the sum of its proper divisors (137779012761904).

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

101122211201120 is an equidigital number, since it uses as much as digits as its factorization.

101122211201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632013820022 (or 632013820014 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122211201120 its reverse (21102112221101), we get a palindrome (122224323422221).

The spelling of 101122211201120 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, one hundred twenty".