100022009976 has 128 divisors (see below), whose sum is σ = 317648448000. Its totient is φ = 28567074816.

The previous prime is 100022009957. The next prime is 100022009987. The reversal of 100022009976 is 679900220001.

It is a super-3 number, since 3×100022009976³ (a number of 34 digits) contains 333 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 100022009976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4626520 + ... + 4648088.

It is an arithmetic number, because the mean of its divisors is an integer number (2481628500).

Almost surely, 2^100022009976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158824224000).

100022009976 is an abundant number, since it is smaller than the sum of its proper divisors (217626438024).

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

100022009976 is a wasteful number, since it uses less digits than its factorization.

100022009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24658 (or 24648 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 100022009976 its reverse (679900220001), we get a palindrome (779922229977).

The spelling of 100022009976 in words is "one hundred billion, twenty-two million, nine thousand, nine hundred seventy-six".