102133120034000 has 160 divisors (see below), whose sum is σ = 275673919847040. Its totient is φ = 36275611008000.

The previous prime is 102133120033993. The next prime is 102133120034017. The reversal of 102133120034000 is 430021331201.

It is a super-2 number, since 2×102133120034000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53035565 + ... + 54927564.

It is an arithmetic number, because the mean of its divisors is an integer number (1722961999044).

Almost surely, 2^{102133120034000} is an apocalyptic number.

102133120034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133120034000 is an abundant number, since it is smaller than the sum of its proper divisors (173540799813040).

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

102133120034000 is a wasteful number, since it uses less digits than its factorization.

102133120034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107963206 (or 107963190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102133120034000 its reverse (430021331201), we get a palindrome (102563141365201).

The spelling of 102133120034000 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty million, thirty-four thousand".