22100201212100 has 72 divisors (see below), whose sum is σ = 52423757227296. Its totient is φ = 8020069120000.

The previous prime is 22100201212091. The next prime is 22100201212109. The reversal of 22100201212100 is 121210200122.

It is an interprime number because it is at equal distance from previous prime (22100201212091) and next prime (22100201212109).

It is not an unprimeable number, because it can be changed into a prime (22100201212109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19919261 + ... + 20999460.

It is an arithmetic number, because the mean of its divisors is an integer number (728107739268).

Almost surely, 2^{22100201212100} is an apocalyptic number.

22100201212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100201212100 is an abundant number, since it is smaller than the sum of its proper divisors (30323556015196).

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

22100201212100 is a wasteful number, since it uses less digits than its factorization.

22100201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40919237 (or 40919230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22100201212100 its reverse (121210200122), we get a palindrome (22221411412222).

The spelling of 22100201212100 in words is "twenty-two trillion, one hundred billion, two hundred one million, two hundred twelve thousand, one hundred".