101122102211220 has 48 divisors (see below), whose sum is σ = 314602095769920. Its totient is φ = 26965893922848.

The previous prime is 101122102211177. The next prime is 101122102211227. The reversal of 101122102211220 is 22112201221101.

101122102211220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 221 + 0 + 221 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101122102211193 and 101122102211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122102211227) 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, 93631575582 + ... + 93631576661.

It is an arithmetic number, because the mean of its divisors is an integer number (6554210328540).

Almost surely, 2^{101122102211220} is an apocalyptic number.

101122102211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122102211220 is an abundant number, since it is smaller than the sum of its proper divisors (213479993558700).

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

101122102211220 is a wasteful number, since it uses less digits than its factorization.

101122102211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187263152261 (or 187263152253 counting only the distinct ones).

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

Adding to 101122102211220 its reverse (22112201221101), we get a palindrome (123234303432321).

The spelling of 101122102211220 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, two hundred twenty".