1100122002241 has 2 divisors, whose sum is σ = 1100122002242. Its totient is φ = 1100122002240.

The previous prime is 1100122002191. The next prime is 1100122002251. The reversal of 1100122002241 is 1422002210011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634890240000 + 465231762241 = 796800^2 + 682079^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100122002241 - 2¹⁵ = 1100121969473 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100122002251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550061001120 + 550061001121.

It is an arithmetic number, because the mean of its divisors is an integer number (550061001121).

Almost surely, 2^{1100122002241} is an apocalyptic number.

It is an amenable number.

1100122002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100122002241 is an equidigital number, since it uses as much as digits as its factorization.

1100122002241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1100122002241 its reverse (1422002210011), we get a palindrome (2522124212252).

The spelling of 1100122002241 in words is "one trillion, one hundred billion, one hundred twenty-two million, two thousand, two hundred forty-one".