101407377235129 has 27 divisors (see below), whose sum is σ = 118163197403181. Its totient is φ = 86773847086080.

The previous prime is 101407377235123. The next prime is 101407377235147. The reversal of 101407377235129 is 921532773704101.

The square root of 101407377235129 is 10070123.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31370898546729 + 70036478688400 = 5600973^2 + 8368780^2 .

It is not a de Polignac number, because 101407377235129 - 2¹⁷ = 101407377104057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101407377235123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71971168377 + ... + 71971169785.

Almost surely, 2^{101407377235129} is an apocalyptic number.

101407377235129 is the 10070123-rd square number.

101407377235129 is the 5035062-nd centered octagonal number.

It is an amenable number.

101407377235129 is a deficient number, since it is larger than the sum of its proper divisors (16755820168052).

101407377235129 is an frugal number, since it uses more digits than its factorization.

101407377235129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 52.

The spelling of 101407377235129 in words is "one hundred one trillion, four hundred seven billion, three hundred seventy-seven million, two hundred thirty-five thousand, one hundred twenty-nine".