101122221121220 has 48 divisors (see below), whose sum is σ = 228698615817840. Its totient is φ = 37336321460736.

The previous prime is 101122221121199. The next prime is 101122221121349. The reversal of 101122221121220 is 22121122221101.

It can be written as a sum of positive squares in 8 ways, for example, as 8375421217024 + 92746799904196 = 2894032^2 + 9630514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101122221121192 and 101122221121201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953946 + ... + 14524814.

It is an arithmetic number, because the mean of its divisors is an integer number (4764554496205).

Almost surely, 2^{101122221121220} is an apocalyptic number.

101122221121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122221121220 is an abundant number, since it is smaller than the sum of its proper divisors (127576394696620).

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

101122221121220 is a wasteful number, since it uses less digits than its factorization.

101122221121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604504 (or 11604502 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101122221121220 its reverse (22121122221101), we get a palindrome (123243343342321).

The spelling of 101122221121220 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".