102251040000 has 180 divisors, whose sum is σ = 340063844736. Its totient is φ = 27266816000.

The previous prime is 102251039983. The next prime is 102251040019. The reversal of 102251040000 is 40152201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 373489 + ... + 586511.

Almost surely, 2^102251040000 is an apocalyptic number.

102251040000 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 102251040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170031922368).

102251040000 is an abundant number, since it is smaller than the sum of its proper divisors (237812804736).

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

102251040000 is an frugal number, since it uses more digits than its factorization.

102251040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213062 (or 213033 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 102251040000 its reverse (40152201), we get a palindrome (102291192201).

The spelling of 102251040000 in words is "one hundred two billion, two hundred fifty-one million, forty thousand".