101132673762840 has 64 divisors (see below), whose sum is σ = 303909653916000. Its totient is φ = 26923234547712.

The previous prime is 101132673762829. The next prime is 101132673762851. The reversal of 101132673762840 is 48267376231101.

101132673762840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101132673762829) and next prime (101132673762851).

It is a super-2 number, since 2×101132673762840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 710529415 + ... + 710671734.

Almost surely, 2^{101132673762840} is an apocalyptic number.

101132673762840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132673762840 is an abundant number, since it is smaller than the sum of its proper divisors (202776980153160).

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

101132673762840 is a wasteful number, since it uses less digits than its factorization.

101132673762840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421201756 (or 1421201752 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 101132673762840 in words is "one hundred one trillion, one hundred thirty-two billion, six hundred seventy-three million, seven hundred sixty-two thousand, eight hundred forty".