102371718287881 has 9 divisors (see below), whose sum is σ = 119085550601031. Its totient is φ = 87747126396552.

The previous prime is 102371718287879. The next prime is 102371718287899. The reversal of 102371718287881 is 188782817173201.

The square root of 102371718287881 is 10117891.

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., 597598572025 + 101774119715856 = 773045^2 + 10088316^2 .

It is not a de Polignac number, because 102371718287881 - 2¹ = 102371718287879 is a prime.

It is a super-2 number, since 2×102371718287881² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102371718287801) 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 8 ways as a sum of consecutive naturals, for example, 70102531 + ... + 71547943.

It is an arithmetic number, because the mean of its divisors is an integer number (13231727844559).

Almost surely, 2^{102371718287881} is an apocalyptic number.

102371718287881 is the 10117891-st square number.

102371718287881 is the 5058946-th centered octagonal number.

It is an amenable number.

102371718287881 is a deficient number, since it is larger than the sum of its proper divisors (16713832313150).

102371718287881 is an frugal number, since it uses more digits than its factorization.

102371718287881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890840 (or 1445420 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 64.

The spelling of 102371718287881 in words is "one hundred two trillion, three hundred seventy-one billion, seven hundred eighteen million, two hundred eighty-seven thousand, eight hundred eighty-one".