100561222656 has 308 divisors, whose sum is σ = 314556463632. Its totient is φ = 32057524224.

The previous prime is 100561222631. The next prime is 100561222661. The reversal of 100561222656 is 656222165001.

100561222656 is a `hidden beast` number, since 1 + 0 + 0 + 561 + 22 + 26 + 56 = 666.

It is a super-2 number, since 2×100561222656² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100561222656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17166480 + ... + 17172336.

Almost surely, 2^100561222656 is an apocalyptic number.

100561222656 is a gapful number since it is divisible by the number (16) 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 100561222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157278231816).

100561222656 is an abundant number, since it is smaller than the sum of its proper divisors (213995240976).

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

100561222656 is an frugal number, since it uses more digits than its factorization.

100561222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 100561222656 its reverse (656222165001), we get a palindrome (756783387657).

The spelling of 100561222656 in words is "one hundred billion, five hundred sixty-one million, two hundred twenty-two thousand, six hundred fifty-six".