102133111010000 has 200 divisors, whose sum is σ = 286176623166720. Its totient is φ = 34573810752000.

The previous prime is 102133111009949. The next prime is 102133111010003. The reversal of 102133111010000 is 10111331201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133111010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3704459 + ... + 14764458.

Almost surely, 2^{102133111010000} is an apocalyptic number.

102133111010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133111010000 is an abundant number, since it is smaller than the sum of its proper divisors (184043512156720).

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

102133111010000 is an equidigital number, since it uses as much as digits as its factorization.

102133111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18469031 (or 18469010 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 102133111010000 its reverse (10111331201), we get a palindrome (102143222341201).

The spelling of 102133111010000 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred eleven million, ten thousand".