100122221021 has 8 divisors (see below), whose sum is σ = 106687000440. Its totient is φ = 93632467968.

The previous prime is 100122221009. The next prime is 100122221027. The reversal of 100122221021 is 120122221001.

It can be written as a sum of positive squares in 4 ways, for example, as 550418521 + 99571802500 = 23461^2 + 315550^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122221021 - 2²² = 100118026717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122220987 and 100122221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122221027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18753836 + ... + 18759173.

It is an arithmetic number, because the mean of its divisors is an integer number (13335875055).

Almost surely, 2^100122221021 is an apocalyptic number.

It is an amenable number.

100122221021 is a deficient number, since it is larger than the sum of its proper divisors (6564779419).

100122221021 is a wasteful number, since it uses less digits than its factorization.

100122221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37513183.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122221021 its reverse (120122221001), we get a palindrome (220244442022).

The spelling of 100122221021 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-one".