102133012101100 has 72 divisors (see below), whose sum is σ = 221708251638720. Its totient is φ = 40838532294720.

The previous prime is 102133012101083. The next prime is 102133012101137. The reversal of 102133012101100 is 1101210331201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3888250167 + ... + 3888276433.

It is an arithmetic number, because the mean of its divisors is an integer number (3079281272760).

Almost surely, 2^{102133012101100} is an apocalyptic number.

102133012101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133012101100 is an abundant number, since it is smaller than the sum of its proper divisors (119575239537620).

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

102133012101100 is a wasteful number, since it uses less digits than its factorization.

102133012101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38767 (or 38760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102133012101100 its reverse (1101210331201), we get a palindrome (103234222432301).

The spelling of 102133012101100 in words is "one hundred two trillion, one hundred thirty-three billion, twelve million, one hundred one thousand, one hundred".