102122022102100 has 576 divisors, whose sum is σ = 303348264468480. Its totient is φ = 28808845977600.

The previous prime is 102122022102071. The next prime is 102122022102119. The reversal of 102122022102100 is 1201220221201.

It is a happy number.

It is a super-3 number, since 3×102122022102100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9671556621 + ... + 9671567179.

It is an arithmetic number, because the mean of its divisors is an integer number (526646292480).

Almost surely, 2^{102122022102100} is an apocalyptic number.

102122022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151674132234240).

102122022102100 is an abundant number, since it is smaller than the sum of its proper divisors (201226242366380).

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

102122022102100 is a wasteful number, since it uses less digits than its factorization.

102122022102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122022102100 its reverse (1201220221201), we get a palindrome (103323242323301).

The spelling of 102122022102100 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, one hundred".