21122011222100 has 18 divisors (see below), whose sum is σ = 45834764352174. Its totient is φ = 8448804488800.

The previous prime is 21122011222093. The next prime is 21122011222129. The reversal of 21122011222100 is 122211022112.

It can be written as a sum of positive squares in 3 ways, for example, as 349236085444 + 20772775136656 = 590962^2 + 4557716^2 .

It is a super-2 number, since 2×21122011222100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105610056011 + ... + 105610056210.

It is an arithmetic number, because the mean of its divisors is an integer number (2546375797343).

Almost surely, 2^{21122011222100} is an apocalyptic number.

21122011222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122011222100 is an abundant number, since it is smaller than the sum of its proper divisors (24712753130074).

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

21122011222100 is a wasteful number, since it uses less digits than its factorization.

21122011222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211220112235 (or 211220112228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21122011222100 its reverse (122211022112), we get a palindrome (21244222244212).

The spelling of 21122011222100 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one hundred".