102133322133100 has 36 divisors (see below), whose sum is σ = 221642624511000. Its totient is φ = 40850874386560.

The previous prime is 102133322133053. The next prime is 102133322133179. The reversal of 102133322133100 is 1331223331201.

It is a super-2 number, since 2×102133322133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29007610 + ... + 32337409.

It is an arithmetic number, because the mean of its divisors is an integer number (6156739569750).

Almost surely, 2^{102133322133100} is an apocalyptic number.

102133322133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133322133100 is an abundant number, since it is smaller than the sum of its proper divisors (119509302377900).

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

102133322133100 is a wasteful number, since it uses less digits than its factorization.

102133322133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61361682 (or 61361675 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102133322133100 its reverse (1331223331201), we get a palindrome (103464545464301).

The spelling of 102133322133100 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred".