102251160000 has 1400 divisors, whose sum is σ = 437819352960. Its totient is φ = 23328000000.

The previous prime is 102251159951. The next prime is 102251160043. The reversal of 102251160000 is 61152201.

102251160000 is a `hidden beast` number, since 10 + 2 + 2 + 51 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 677159925 + ... + 677160075.

Almost surely, 2^102251160000 is an apocalyptic number.

102251160000 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 102251160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218909676480).

102251160000 is an abundant number, since it is smaller than the sum of its proper divisors (335568192960).

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

102251160000 is a wasteful number, since it uses less digits than its factorization.

102251160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 102251160000 in words is "one hundred two billion, two hundred fifty-one million, one hundred sixty thousand".