101358264368627 has 12 divisors (see below), whose sum is σ = 118523864232576. Its totient is φ = 86423650986960.

The previous prime is 101358264368563. The next prime is 101358264368677. The reversal of 101358264368627 is 726863462853101.

It is not a de Polignac number, because 101358264368627 - 2⁶ = 101358264368563 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101358264368627.

It is not an unprimeable number, because it can be changed into a prime (101358264368677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5415006368 + ... + 5415025085.

It is an arithmetic number, because the mean of its divisors is an integer number (9876988686048).

Almost surely, 2^{101358264368627} is an apocalyptic number.

101358264368627 is a deficient number, since it is larger than the sum of its proper divisors (17165599863949).

101358264368627 is a wasteful number, since it uses less digits than its factorization.

101358264368627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830031658 (or 10830031651 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 62.

The spelling of 101358264368627 in words is "one hundred one trillion, three hundred fifty-eight billion, two hundred sixty-four million, three hundred sixty-eight thousand, six hundred twenty-seven".