102133121122032 has 320 divisors, whose sum is σ = 361789228007424. Its totient is φ = 23966451256320.

The previous prime is 102133121122013. The next prime is 102133121122033. The reversal of 102133121122032 is 230221121331201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102133121121993 and 102133121122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133121122033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20355018 + ... + 24871529.

Almost surely, 2^{102133121122032} is an apocalyptic number.

102133121122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102133121122032 is an abundant number, since it is smaller than the sum of its proper divisors (259656106885392).

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

102133121122032 is a wasteful number, since it uses less digits than its factorization.

102133121122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45226636 (or 45226630 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102133121122032 its reverse (230221121331201), we get a palindrome (332354242453233).

The spelling of 102133121122032 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, one hundred twenty-two thousand, thirty-two".