102200013232000 has 128 divisors (see below), whose sum is σ = 254104948637280. Its totient is φ = 40878369792000.

The previous prime is 102200013231989. The next prime is 102200013232013. The reversal of 102200013232000 is 232310002201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449182267 + ... + 449409733.

Almost surely, 2^{102200013232000} is an apocalyptic number.

102200013232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200013232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127052474318640).

102200013232000 is an abundant number, since it is smaller than the sum of its proper divisors (151904935405280).

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

102200013232000 is an equidigital number, since it uses as much as digits as its factorization.

102200013232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255577 (or 255555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102200013232000 its reverse (232310002201), we get a palindrome (102432323234201).

The spelling of 102200013232000 in words is "one hundred two trillion, two hundred billion, thirteen million, two hundred thirty-two thousand".