101122211200220 has 48 divisors (see below), whose sum is σ = 242764541752320. Its totient is φ = 34660296001344.

The previous prime is 101122211200211. The next prime is 101122211200229. The reversal of 101122211200220 is 22002112221101.

It is an interprime number because it is at equal distance from previous prime (101122211200211) and next prime (101122211200229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211200229) 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, 105525590 + ... + 106479549.

It is an arithmetic number, because the mean of its divisors is an integer number (5057594619840).

Almost surely, 2^{101122211200220} is an apocalyptic number.

101122211200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122211200220 is an abundant number, since it is smaller than the sum of its proper divisors (141642330552100).

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

101122211200220 is a wasteful number, since it uses less digits than its factorization.

101122211200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212008562 (or 212008560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101122211200220 its reverse (22002112221101), we get a palindrome (123124323421321).

The spelling of 101122211200220 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred thousand, two hundred twenty".