10102680000 has 840 divisors, whose sum is σ = 43737499520. Its totient is φ = 2177280000.

The previous prime is 10102679999. The next prime is 10102680031. The reversal of 10102680000 is 8620101.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 47879895 + ... + 47880105.

Almost surely, 2^10102680000 is an apocalyptic number.

10102680000 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 10102680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868749760).

10102680000 is an abundant number, since it is smaller than the sum of its proper divisors (33634819520).

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

10102680000 is a wasteful number, since it uses less digits than its factorization.

10102680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10102680000 in words is "ten billion, one hundred two million, six hundred eighty thousand".