102101122011220 has 24 divisors (see below), whose sum is σ = 214445480604264. Its totient is φ = 40834139398656.

The previous prime is 102101122011157. The next prime is 102101122011223. The reversal of 102101122011220 is 22110221101201.

It can be written as a sum of positive squares in 4 ways, for example, as 173440597444 + 101927681413776 = 416462^2 + 10095924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101122011194 and 102101122011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101122011223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394205169 + ... + 394464088.

It is an arithmetic number, because the mean of its divisors is an integer number (8935228358511).

Almost surely, 2^{102101122011220} is an apocalyptic number.

102101122011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101122011220 is an abundant number, since it is smaller than the sum of its proper divisors (112344358593044).

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

102101122011220 is a wasteful number, since it uses less digits than its factorization.

102101122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788675739 (or 788675737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101122011220 its reverse (22110221101201), we get a palindrome (124211343112421).

The spelling of 102101122011220 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, eleven thousand, two hundred twenty".