22521021002100 has 432 divisors, whose sum is σ = 76829009847408. Its totient is φ = 5494867476480.

The previous prime is 22521021002041. The next prime is 22521021002107. The reversal of 22521021002100 is 120012012522.

22521021002100 is a `hidden beast` number, since 2 + 252 + 102 + 100 + 210 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4866603657444 + 17654417344656 = 2206038^2 + 4201716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22521021002107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 686662902 + ... + 686695698.

Almost surely, 2^{22521021002100} is an apocalyptic number.

22521021002100 is a gapful number since it is divisible by the number (20) 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 22521021002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38414504923704).

22521021002100 is an abundant number, since it is smaller than the sum of its proper divisors (54307988845308).

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

22521021002100 is a wasteful number, since it uses less digits than its factorization.

22521021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34084 (or 34074 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22521021002100 its reverse (120012012522), we get a palindrome (22641033014622).

The spelling of 22521021002100 in words is "twenty-two trillion, five hundred twenty-one billion, twenty-one million, two thousand, one hundred".