102137310000 has 900 divisors, whose sum is σ = 400859202744. Its totient is φ = 24245760000.

The previous prime is 102137309987. The next prime is 102137310013. The reversal of 102137310000 is 13731201.

It is an interprime number because it is at equal distance from previous prime (102137309987) and next prime (102137310013).

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×102137310000² (a number of 23 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 903869944 + ... + 903870056.

Almost surely, 2^102137310000 is an apocalyptic number.

102137310000 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 102137310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200429601372).

102137310000 is an abundant number, since it is smaller than the sum of its proper divisors (298721892744).

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

102137310000 is a wasteful number, since it uses less digits than its factorization.

102137310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The spelling of 102137310000 in words is "one hundred two billion, one hundred thirty-seven million, three hundred ten thousand".