102221379936336 has 80 divisors (see below), whose sum is σ = 266576092661120. Its totient is φ = 33750862686720.

The previous prime is 102221379936287. The next prime is 102221379936439. The reversal of 102221379936336 is 633639973122201.

It is a super-2 number, since 2×102221379936336² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14127366 + ... + 20100378.

It is an arithmetic number, because the mean of its divisors is an integer number (3332201158264).

Almost surely, 2^{102221379936336} is an apocalyptic number.

102221379936336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221379936336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133288046330560).

102221379936336 is an abundant number, since it is smaller than the sum of its proper divisors (164354712724784).

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

102221379936336 is a wasteful number, since it uses less digits than its factorization.

102221379936336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976404 (or 5976398 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 57.

The spelling of 102221379936336 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred seventy-nine million, nine hundred thirty-six thousand, three hundred thirty-six".