21112122100122 has 12 divisors (see below), whose sum is σ = 45742931216970. Its totient is φ = 7037374033368.

The previous prime is 21112122100093. The next prime is 21112122100123. The reversal of 21112122100122 is 22100122121112.

21112122100122 is a `hidden beast` number, since 211 + 121 + 2 + 210 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20151920049921 + 960202050201 = 4489089^2 + 979899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1172895672229 = 21112122100122 / (2 + 1 + 1 + 1 + 2 + 1 + 2 + 2 + 1 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 21112122100095 and 21112122100104.

It is not an unprimeable number, because it can be changed into a prime (21112122100123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586447836097 + ... + 586447836132.

Almost surely, 2^{21112122100122} is an apocalyptic number.

21112122100122 is an abundant number, since it is smaller than the sum of its proper divisors (24630809116848).

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

21112122100122 is a wasteful number, since it uses less digits than its factorization.

21112122100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172895672237 (or 1172895672234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112122100122 its reverse (22100122121112), we get a palindrome (43212244221234).

The spelling of 21112122100122 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-two".