111100002122101 has 2 divisors, whose sum is σ = 111100002122102. Its totient is φ = 111100002122100.

The previous prime is 111100002122051. The next prime is 111100002122113. The reversal of 111100002122101 is 101221200001111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108039934139076 + 3060067983025 = 10394226^2 + 1749305^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100002122101 - 2³⁵ = 111065642383733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100002122141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550001061050 + 55550001061051.

It is an arithmetic number, because the mean of its divisors is an integer number (55550001061051).

Almost surely, 2^{111100002122101} is an apocalyptic number.

It is an amenable number.

111100002122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100002122101 is an equidigital number, since it uses as much as digits as its factorization.

111100002122101 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 13.

Adding to 111100002122101 its reverse (101221200001111), we get a palindrome (212321202123212).

The spelling of 111100002122101 in words is "one hundred eleven trillion, one hundred billion, two million, one hundred twenty-two thousand, one hundred one".