102101122113210 has 320 divisors, whose sum is σ = 301682401257600. Its totient is φ = 24571338785280.

The previous prime is 102101122113203. The next prime is 102101122113233. The reversal of 102101122113210 is 12311221101201.

It is a happy number.

102101122113210 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 112 + 211 + 321 + 0 = 666.

It is a super-3 number, since 3×102101122113210³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2372381812 + ... + 2372424848.

It is an arithmetic number, because the mean of its divisors is an integer number (942757503930).

Almost surely, 2^{102101122113210} is an apocalyptic number.

102101122113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101122113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150841200628800).

102101122113210 is an abundant number, since it is smaller than the sum of its proper divisors (199581279144390).

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

102101122113210 is a wasteful number, since it uses less digits than its factorization.

102101122113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45003 (or 44994 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102101122113210 its reverse (12311221101201), we get a palindrome (114412343214411).

The spelling of 102101122113210 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred ten".