1100022012101 has 2 divisors, whose sum is σ = 1100022012102. Its totient is φ = 1100022012100.

The previous prime is 1100022012091. The next prime is 1100022012107. The reversal of 1100022012101 is 1012102200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933157932001 + 166864080100 = 966001^2 + 408490^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100022012101 - 2²⁶ = 1099954903237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100022012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550011006050 + 550011006051.

It is an arithmetic number, because the mean of its divisors is an integer number (550011006051).

Almost surely, 2^{1100022012101} is an apocalyptic number.

It is an amenable number.

1100022012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100022012101 is an equidigital number, since it uses as much as digits as its factorization.

1100022012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100022012101 its reverse (1012102200011), we get a palindrome (2112124212112).

The spelling of 1100022012101 in words is "one trillion, one hundred billion, twenty-two million, twelve thousand, one hundred one".