102133113123100 has 36 divisors (see below), whose sum is σ = 221635651205584. Its totient is φ = 40851992580480.

The previous prime is 102133113123089. The next prime is 102133113123103. The reversal of 102133113123100 is 1321311331201.

It is a super-2 number, since 2×102133113123100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133113123103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12377337 + ... + 18906736.

Almost surely, 2^{102133113123100} is an apocalyptic number.

102133113123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133113123100 is an abundant number, since it is smaller than the sum of its proper divisors (119502538082484).

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

102133113123100 is a wasteful number, since it uses less digits than its factorization.

102133113123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31316734 (or 31316727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102133113123100 its reverse (1321311331201), we get a palindrome (103454424454301).

The spelling of 102133113123100 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred".