100220669314560 has 560 divisors, whose sum is σ = 361508847671664. Its totient is φ = 26634153148416.

The previous prime is 100220669314541. The next prime is 100220669314639. The reversal of 100220669314560 is 65413966022001.

100220669314560 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 6 + 69 + 3 + 1 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 546716679 + ... + 546899961.

Almost surely, 2^{100220669314560} is an apocalyptic number.

100220669314560 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 100220669314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180754423835832).

100220669314560 is an abundant number, since it is smaller than the sum of its proper divisors (261288178357104).

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

100220669314560 is an frugal number, since it uses more digits than its factorization.

100220669314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183617 (or 183586 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 100220669314560 in words is "one hundred trillion, two hundred twenty billion, six hundred sixty-nine million, three hundred fourteen thousand, five hundred sixty".