10122112102241 has 2 divisors, whose sum is σ = 10122112102242. Its totient is φ = 10122112102240.

The previous prime is 10122112102103. The next prime is 10122112102243. The reversal of 10122112102241 is 14220121122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6640305380641 + 3481806721600 = 2576879^2 + 1865960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122112102241 - 2²² = 10122107907937 is a prime.

Together with 10122112102243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10122112102243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056051120 + 5061056051121.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056051121).

Almost surely, 2^{10122112102241} is an apocalyptic number.

It is an amenable number.

10122112102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122112102241 is an equidigital number, since it uses as much as digits as its factorization.

10122112102241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10122112102241 its reverse (14220121122101), we get a palindrome (24342233224342).

The spelling of 10122112102241 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, two hundred forty-one".