22100100122101 has 8 divisors (see below), whose sum is σ = 22578811902360. Its totient is φ = 21626508254208.

The previous prime is 22100100122071. The next prime is 22100100122117. The reversal of 22100100122101 is 10122100100122.

It can be written as a sum of positive squares in 4 ways, for example, as 4645468962225 + 17454631159876 = 2155335^2 + 4177874^2 .

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 22100100122101 - 2⁷ = 22100100121973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100100122131) 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, 1279969366 + ... + 1279986631.

It is an arithmetic number, because the mean of its divisors is an integer number (2822351487795).

Almost surely, 2^{22100100122101} is an apocalyptic number.

It is an amenable number.

22100100122101 is a deficient number, since it is larger than the sum of its proper divisors (478711780259).

22100100122101 is an equidigital number, since it uses as much as digits as its factorization.

22100100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559956183.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22100100122101 its reverse (10122100100122), we get a palindrome (32222200222223).

It can be divided in two parts, 22100100122 and 101, that multiplied together give a palindrome (2232110112322).

The spelling of 22100100122101 in words is "twenty-two trillion, one hundred billion, one hundred million, one hundred twenty-two thousand, one hundred one".