21122110022100 has 72 divisors (see below), whose sum is σ = 61799971423680. Its totient is φ = 5569275444480.

The previous prime is 21122110022071. The next prime is 21122110022149. The reversal of 21122110022100 is 122001122112.

It is a super-2 number, since 2×21122110022100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21122110022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395518432 + ... + 395571831.

It is an arithmetic number, because the mean of its divisors is an integer number (858332936440).

Almost surely, 2^{21122110022100} is an apocalyptic number.

21122110022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122110022100 is an abundant number, since it is smaller than the sum of its proper divisors (40677861401580).

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

21122110022100 is a wasteful number, since it uses less digits than its factorization.

21122110022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791090369 (or 791090362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122110022100 its reverse (122001122112), we get a palindrome (21244111144212).

The spelling of 21122110022100 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, twenty-two thousand, one hundred".