101538788251827 has 12 divisors (see below), whose sum is σ = 139893190061640. Its totient is φ = 65508895644480.

The previous prime is 101538788251783. The next prime is 101538788251841. The reversal of 101538788251827 is 728152887835101.

It is not a de Polignac number, because 101538788251827 - 2⁶ = 101538788251763 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101538788251897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17609915302 + ... + 17609921067.

It is an arithmetic number, because the mean of its divisors is an integer number (11657765838470).

Almost surely, 2^{101538788251827} is an apocalyptic number.

101538788251827 is a deficient number, since it is larger than the sum of its proper divisors (38354401809813).

101538788251827 is an equidigital number, since it uses as much as digits as its factorization.

101538788251827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35219836434 (or 35219836403 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 66.

The spelling of 101538788251827 in words is "one hundred one trillion, five hundred thirty-eight billion, seven hundred eighty-eight million, two hundred fifty-one thousand, eight hundred twenty-seven".