102011249664 has 165 divisors, whose sum is σ = 304900467817. Its totient is φ = 33973088256.

The previous prime is 102011249623. The next prime is 102011249723. The reversal of 102011249664 is 466942110201.

The square root of 102011249664 is 319392.

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

102011249664 is a `hidden beast` number, since 102 + 0 + 1 + 1 + 2 + 496 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1649009664 + 100362240000 = 40608^2 + 316800^2 .

It is a super-2 number, since 2×102011249664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 91984342 + ... + 91985450.

Almost surely, 2^102011249664 is an apocalyptic number.

102011249664 is the 319392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011249664

102011249664 is an abundant number, since it is smaller than the sum of its proper divisors (202889218153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011249664 is an frugal number, since it uses more digits than its factorization.

102011249664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 102011249664 by its sum of digits (36), we get a square (3672404987904 = 1916352²).

102011249664 divided by its sum of digits (36) gives a square (2833645824 = 53232²).

102011249664 divided by its product of nonzero digits (20736) gives a square (4919524 = 2218²).

Adding to 102011249664 its reverse (466942110201), we get a palindrome (568953359865).

The spelling of 102011249664 in words is "one hundred two billion, eleven million, two hundred forty-nine thousand, six hundred sixty-four".