22100121201001 has 2 divisors, whose sum is σ = 22100121201002. Its totient is φ = 22100121201000.

The previous prime is 22100121200959. The next prime is 22100121201031. The reversal of 22100121201001 is 10010212100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15508316563600 + 6591804637401 = 3938060^2 + 2567451^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100121201001 - 2²⁷ = 22099986983273 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100121201031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050060600500 + 11050060600501.

It is an arithmetic number, because the mean of its divisors is an integer number (11050060600501).

Almost surely, 2^{22100121201001} is an apocalyptic number.

It is an amenable number.

22100121201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100121201001 is an equidigital number, since it uses as much as digits as its factorization.

22100121201001 is an evil number, because the sum of its binary digits is even.

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

Adding to 22100121201001 its reverse (10010212100122), we get a palindrome (32110333301123).

The spelling of 22100121201001 in words is "twenty-two trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, one".