102563435731200 has 864 divisors, whose sum is σ = 374253372917760. Its totient is φ = 24619769856000.

The previous prime is 102563435731069. The next prime is 102563435731201. The reversal of 102563435731200 is 2137534365201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102563435731201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1266909924 + ... + 1266990876.

Almost surely, 2^{102563435731200} is an apocalyptic number.

102563435731200 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 102563435731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187126686458880).

102563435731200 is an abundant number, since it is smaller than the sum of its proper divisors (271689937186560).

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

102563435731200 is a wasteful number, since it uses less digits than its factorization.

102563435731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81175 (or 81156 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 102563435731200 in words is "one hundred two trillion, five hundred sixty-three billion, four hundred thirty-five million, seven hundred thirty-one thousand, two hundred".