1100110122101 has 2 divisors, whose sum is σ = 1100110122102. Its totient is φ = 1100110122100.

The previous prime is 1100110122073. The next prime is 1100110122109. The reversal of 1100110122101 is 1012210110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 939910860100 + 160199262001 = 969490^2 + 400249^2 .

It is an emirp because it is prime and its reverse (1012210110011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100110122101 - 2¹⁸ = 1100109859957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100110122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055061050 + 550055061051.

It is an arithmetic number, because the mean of its divisors is an integer number (550055061051).

Almost surely, 2^{1100110122101} is an apocalyptic number.

It is an amenable number.

1100110122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110122101 is an equidigital number, since it uses as much as digits as its factorization.

1100110122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100110122101 its reverse (1012210110011), we get a palindrome (2112320232112).

The spelling of 1100110122101 in words is "one trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand, one hundred one".