102221684760 has 384 divisors, whose sum is σ = 352905984000. Its totient is φ = 23594508288.

The previous prime is 102221684737. The next prime is 102221684791. The reversal of 102221684760 is 67486122201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165139731 + ... + 165140349.

It is an arithmetic number, because the mean of its divisors is an integer number (919026000).

Almost surely, 2^102221684760 is an apocalyptic number.

102221684760 is a gapful number since it is divisible by the number (10) 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 102221684760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176452992000).

102221684760 is an abundant number, since it is smaller than the sum of its proper divisors (250684299240).

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

102221684760 is a wasteful number, since it uses less digits than its factorization.

102221684760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 102221684760 in words is "one hundred two billion, two hundred twenty-one million, six hundred eighty-four thousand, seven hundred sixty".