102221414968320 has 704 divisors, whose sum is σ = 371277302148480. Its totient is φ = 26663642726400.

The previous prime is 102221414968291. The next prime is 102221414968333. The reversal of 102221414968320 is 23869414122201.

102221414968320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 21 + 41 + 496 + 83 + 20 = 666.

It is a super-2 number, since 2×102221414968320² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1526274354 + ... + 1526341326.

Almost surely, 2^{102221414968320} is an apocalyptic number.

102221414968320 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 102221414968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185638651074240).

102221414968320 is an abundant number, since it is smaller than the sum of its proper divisors (269055887180160).

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

102221414968320 is a wasteful number, since it uses less digits than its factorization.

102221414968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67249 (or 67225 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 102221414968320 in words is "one hundred two trillion, two hundred twenty-one billion, four hundred fourteen million, nine hundred sixty-eight thousand, three hundred twenty".