102221280089664 has 112 divisors (see below), whose sum is σ = 272129377040640. Its totient is φ = 33863518886400.

The previous prime is 102221280089639. The next prime is 102221280089689. The reversal of 102221280089664 is 466980082122201.

It is an interprime number because it is at equal distance from previous prime (102221280089639) and next prime (102221280089689).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1529057839 + ... + 1529124689.

It is an arithmetic number, because the mean of its divisors is an integer number (2429726580720).

Almost surely, 2^{102221280089664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221280089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136064688520320).

102221280089664 is an abundant number, since it is smaller than the sum of its proper divisors (169908096950976).

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

102221280089664 is a wasteful number, since it uses less digits than its factorization.

102221280089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115888 (or 115878 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 102221280089664 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred eighty million, eighty-nine thousand, six hundred sixty-four".