100711238720 has 56 divisors (see below), whose sum is σ = 239856797400. Its totient is φ = 40278085632.

The previous prime is 100711238701. The next prime is 100711238731. The reversal of 100711238720 is 27832117001.

100711238720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17804098624 + 82907140096 = 133432^2 + 287936^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336726 + ... + 2379434.

Almost surely, 2^100711238720 is an apocalyptic number.

100711238720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100711238720 is an abundant number, since it is smaller than the sum of its proper divisors (139145558680).

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

100711238720 is an equidigital number, since it uses as much as digits as its factorization.

100711238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50095 (or 50085 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 100711238720 in words is "one hundred billion, seven hundred eleven million, two hundred thirty-eight thousand, seven hundred twenty".