10122122210261 has 2 divisors, whose sum is σ = 10122122210262. Its totient is φ = 10122122210260.

The previous prime is 10122122210209. The next prime is 10122122210281. The reversal of 10122122210261 is 16201222122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6060410004100 + 4061712206161 = 2461790^2 + 2015369^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122122210261 - 2⁴² = 5724075699157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122122210281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061061105130 + 5061061105131.

It is an arithmetic number, because the mean of its divisors is an integer number (5061061105131).

Almost surely, 2^{10122122210261} is an apocalyptic number.

It is an amenable number.

10122122210261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122122210261 is an equidigital number, since it uses as much as digits as its factorization.

10122122210261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10122122210261 its reverse (16201222122101), we get a palindrome (26323344332362).

The spelling of 10122122210261 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred sixty-one".