102220174729920 has 1344 divisors, whose sum is σ = 373636722945024. Its totient is φ = 23529748070400.

The previous prime is 102220174729891. The next prime is 102220174729931. The reversal of 102220174729920 is 29927471022201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102220174729920.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55343894437 + ... + 55343896283.

It is an arithmetic number, because the mean of its divisors is an integer number (278003514096).

Almost surely, 2^{102220174729920} is an apocalyptic number.

102220174729920 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 102220174729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818361472512).

102220174729920 is an abundant number, since it is smaller than the sum of its proper divisors (271416548215104).

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

102220174729920 is a wasteful number, since it uses less digits than its factorization.

102220174729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 102220174729920 in words is "one hundred two trillion, two hundred twenty billion, one hundred seventy-four million, seven hundred twenty-nine thousand, nine hundred twenty".