21122102110100 has 36 divisors (see below), whose sum is σ = 45991394958684. Its totient is φ = 8420005198080.

The previous prime is 21122102110063. The next prime is 21122102110103. The reversal of 21122102110100 is 101120122112.

It can be written as a sum of positive squares in 6 ways, for example, as 4967602931344 + 16154499178756 = 2228812^2 + 4019266^2 .

It is a super-2 number, since 2×21122102110100² (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 (21122102110103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360416129 + ... + 360474728.

Almost surely, 2^{21122102110100} is an apocalyptic number.

21122102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122102110100 is an abundant number, since it is smaller than the sum of its proper divisors (24869292848584).

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

21122102110100 is a wasteful number, since it uses less digits than its factorization.

21122102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720891164 (or 720891157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122102110100 its reverse (101120122112), we get a palindrome (21223222232212).

The spelling of 21122102110100 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, one hundred".