100687121280 has 640 divisors, whose sum is σ = 389723827680. Its totient is φ = 24673517568.

The previous prime is 100687121279. The next prime is 100687121309. The reversal of 100687121280 is 82121786001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37893712 + ... + 37896368.

Almost surely, 2^100687121280 is an apocalyptic number.

100687121280 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 100687121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194861913840).

100687121280 is an abundant number, since it is smaller than the sum of its proper divisors (289036706400).

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

100687121280 is a wasteful number, since it uses less digits than its factorization.

100687121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 100687121280 in words is "one hundred billion, six hundred eighty-seven million, one hundred twenty-one thousand, two hundred eighty".