102221069068800 has 360 divisors, whose sum is σ = 399077447408640. Its totient is φ = 24780864921600.

The previous prime is 102221069068787. The next prime is 102221069068817. The reversal of 102221069068800 is 8860960122201.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39066240 + ... + 41600639.

It is an arithmetic number, because the mean of its divisors is an integer number (1108548465024).

Almost surely, 2^{102221069068800} is an apocalyptic number.

102221069068800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221069068800 is an abundant number, since it is smaller than the sum of its proper divisors (296856378339840).

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

102221069068800 is a wasteful number, since it uses less digits than its factorization.

102221069068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80666924 (or 80666900 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 102221069068800 in words is "one hundred two trillion, two hundred twenty-one billion, sixty-nine million, sixty-eight thousand, eight hundred".