102226255560000 has 1680 divisors, whose sum is σ = 452805667554240. Its totient is φ = 21671608320000.

The previous prime is 102226255559963. The next prime is 102226255560029. The reversal of 102226255560000 is 65552622201.

102226255560000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 26 + 25 + 5 + 5 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 978067744 + ... + 978172256.

It is an arithmetic number, because the mean of its divisors is an integer number (269527183068).

Almost surely, 2^{102226255560000} is an apocalyptic number.

102226255560000 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 102226255560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402833777120).

102226255560000 is an abundant number, since it is smaller than the sum of its proper divisors (350579411994240).

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

102226255560000 is a wasteful number, since it uses less digits than its factorization.

102226255560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104594 (or 104566 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 102226255560000 in words is "one hundred two trillion, two hundred twenty-six billion, two hundred fifty-five million, five hundred sixty thousand".