22121001002100 has 432 divisors, whose sum is σ = 86585707854464. Its totient is φ = 4242988569600.

The previous prime is 22121001002077. The next prime is 22121001002101. The reversal of 22121001002100 is 120010012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121001002101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 45019 + ... + 6651618.

Almost surely, 2^{22121001002100} is an apocalyptic number.

22121001002100 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 22121001002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292853927232).

22121001002100 is an abundant number, since it is smaller than the sum of its proper divisors (64464706852364).

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

22121001002100 is a wasteful number, since it uses less digits than its factorization.

22121001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696696 (or 6696678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22121001002100 its reverse (120010012122), we get a palindrome (22241011014222).

The spelling of 22121001002100 in words is "twenty-two trillion, one hundred twenty-one billion, one million, two thousand, one hundred".