101122211022210 has 144 divisors (see below), whose sum is σ = 314109125489016. Its totient is φ = 22488955001856.

The previous prime is 101122211022179. The next prime is 101122211022211. The reversal of 101122211022210 is 12220112221101.

101122211022210 is a `hidden beast` number, since 10 + 112 + 221 + 102 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70709313307689 + 30412897714521 = 8408883^2 + 5514789^2 .

It is a super-2 number, since 2×101122211022210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101122211022211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309704487 + ... + 310030826.

Almost surely, 2^{101122211022210} is an apocalyptic number.

101122211022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122211022210 is an abundant number, since it is smaller than the sum of its proper divisors (212986914466806).

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

101122211022210 is a wasteful number, since it uses less digits than its factorization.

101122211022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619735377 (or 619735367 counting only the distinct ones).

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

Adding to 101122211022210 its reverse (12220112221101), we get a palindrome (113342323243311).

The spelling of 101122211022210 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred ten".