101811712251987 has 64 divisors (see below), whose sum is σ = 160028000870400. Its totient is φ = 63840096825120.

The previous prime is 101811712251877. The next prime is 101811712252039. The reversal of 101811712251987 is 789152217118101.

101811712251987 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 117 + 1 + 2 + 2 + 519 + 8 + 7 = 666.

It is not a de Polignac number, because 101811712251987 - 2⁸ = 101811712251731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101811712255987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13664148 + ... + 19756830.

It is an arithmetic number, because the mean of its divisors is an integer number (2500437513600).

Almost surely, 2^{101811712251987} is an apocalyptic number.

101811712251987 is a deficient number, since it is larger than the sum of its proper divisors (58216288618413).

101811712251987 is a wasteful number, since it uses less digits than its factorization.

101811712251987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093165 (or 6093159 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 54.

Adding to 101811712251987 its sum of digits (54), we get a square (101811712252041 = 10090179²).

The spelling of 101811712251987 in words is "one hundred one trillion, eight hundred eleven billion, seven hundred twelve million, two hundred fifty-one thousand, nine hundred eighty-seven".