22010102000100 has 216 divisors, whose sum is σ = 70682354138760. Its totient is φ = 5725375488000.

The previous prime is 22010102000099. The next prime is 22010102000101. The reversal of 22010102000100 is 100020101022.

It is an interprime number because it is at equal distance from previous prime (22010102000099) and next prime (22010102000101).

It can be written as a sum of positive squares in 12 ways, for example, as 20595277392804 + 1414824607296 = 4538202^2 + 1189464^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22010102000101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 278961456 + ... + 279040344.

Almost surely, 2^{22010102000100} is an apocalyptic number.

22010102000100 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 22010102000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35341177069380).

22010102000100 is an abundant number, since it is smaller than the sum of its proper divisors (48672252138660).

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

22010102000100 is a wasteful number, since it uses less digits than its factorization.

22010102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86511 (or 86501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22010102000100 its reverse (100020101022), we get a palindrome (22110122101122).

The spelling of 22010102000100 in words is "twenty-two trillion, ten billion, one hundred two million, one hundred", and thus it is an aban number.