111100122101 has 2 divisors, whose sum is σ = 111100122102. Its totient is φ = 111100122100.

The previous prime is 111100122031. The next prime is 111100122127. The reversal of 111100122101 is 101221001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62512500625 + 48587621476 = 250025^2 + 220426^2 .

It is an emirp because it is prime and its reverse (101221001111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111100122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100122181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550061050 + 55550061051.

It is an arithmetic number, because the mean of its divisors is an integer number (55550061051).

Almost surely, 2^111100122101 is an apocalyptic number.

It is an amenable number.

111100122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100122101 is an equidigital number, since it uses as much as digits as its factorization.

111100122101 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 111100122101 its reverse (101221001111), we get a palindrome (212321123212).

The spelling of 111100122101 in words is "one hundred eleven billion, one hundred million, one hundred twenty-two thousand, one hundred one".