21122120910 has 128 divisors (see below), whose sum is σ = 56031782400. Its totient is φ = 5053248000.

The previous prime is 21122120879. The next prime is 21122120911. The reversal of 21122120910 is 1902122112.

It is a super-2 number, since 2×21122120910² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122120911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12431241 + ... + 12432939.

It is an arithmetic number, because the mean of its divisors is an integer number (437748300).

Almost surely, 2^21122120910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122120910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015891200).

21122120910 is an abundant number, since it is smaller than the sum of its proper divisors (34909661490).

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

21122120910 is a wasteful number, since it uses less digits than its factorization.

21122120910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 21122120910 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, nine hundred ten".