22021011002100 has 144 divisors (see below), whose sum is σ = 69535437572160. Its totient is φ = 5336190412800.

The previous prime is 22021011002093. The next prime is 22021011002117. The reversal of 22021011002100 is 120011012022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6487084 + ... + 9280316.

It is an arithmetic number, because the mean of its divisors is an integer number (482884983140).

Almost surely, 2^{22021011002100} is an apocalyptic number.

22021011002100 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 22021011002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34767718786080).

22021011002100 is an abundant number, since it is smaller than the sum of its proper divisors (47514426570060).

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

22021011002100 is a wasteful number, since it uses less digits than its factorization.

22021011002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795650 (or 2795643 counting only the distinct ones).

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

Adding to 22021011002100 its reverse (120011012022), we get a palindrome (22141022014122).

The spelling of 22021011002100 in words is "twenty-two trillion, twenty-one billion, eleven million, two thousand, one hundred".