101671680010752 has 160 divisors (see below), whose sum is σ = 318658483123200. Its totient is φ = 31896997576704.

The previous prime is 101671680010711. The next prime is 101671680010783. The reversal of 101671680010752 is 257010086176101.

It is a junction number, because it is equal to n+sod(n) for n = 101671680010698 and 101671680010707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216080352 + ... + 216550367.

It is an arithmetic number, because the mean of its divisors is an integer number (1991615519520).

Almost surely, 2^{101671680010752} is an apocalyptic number.

101671680010752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101671680010752 is an abundant number, since it is smaller than the sum of its proper divisors (216986803112448).

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

101671680010752 is an equidigital number, since it uses as much as digits as its factorization.

101671680010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432630763 (or 432630741 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 101671680010752 in words is "one hundred one trillion, six hundred seventy-one billion, six hundred eighty million, ten thousand, seven hundred fifty-two".