21122212100120 has 16 divisors (see below), whose sum is σ = 47524977225360. Its totient is φ = 8448884840032.

The previous prime is 21122212100117. The next prime is 21122212100123. The reversal of 21122212100120 is 2100121222112.

It is an interprime number because it is at equal distance from previous prime (21122212100117) and next prime (21122212100123).

It is a super-2 number, since 2×21122212100120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122212100123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264027651212 + ... + 264027651291.

It is an arithmetic number, because the mean of its divisors is an integer number (2970311076585).

Almost surely, 2^{21122212100120} is an apocalyptic number.

21122212100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122212100120 is an abundant number, since it is smaller than the sum of its proper divisors (26402765125240).

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

21122212100120 is a wasteful number, since it uses less digits than its factorization.

21122212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528055302514 (or 528055302510 counting only the distinct ones).

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

Adding to 21122212100120 its reverse (2100121222112), we get a palindrome (23222333322232).

The spelling of 21122212100120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred twenty".