101292831740356 has 81 divisors (see below), whose sum is σ = 183215408436333. Its totient is φ = 49000105949760.

The previous prime is 101292831740339. The next prime is 101292831740381. The reversal of 101292831740356 is 653047138292101.

The square root of 101292831740356 is 10064434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4880856258756 + 96411975481600 = 2209266^2 + 9818960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114714418291 + ... + 114714419173.

It is a 1-persistent number, because it is pandigital, but 2⋅101292831740356 = 202585663480712 is not.

Almost surely, 2^{101292831740356} is an apocalyptic number.

101292831740356 is the 10064434-th square number.

It is an amenable number.

101292831740356 is a deficient number, since it is larger than the sum of its proper divisors (81922576695977).

101292831740356 is an frugal number, since it uses more digits than its factorization.

101292831740356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 101292831740356 in words is "one hundred one trillion, two hundred ninety-two billion, eight hundred thirty-one million, seven hundred forty thousand, three hundred fifty-six".