2122100112101 has 2 divisors, whose sum is σ = 2122100112102. Its totient is φ = 2122100112100.

The previous prime is 2122100112089. The next prime is 2122100112109. The reversal of 2122100112101 is 1012110012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1402400692900 + 719699419201 = 1184230^2 + 848351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122100112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122100112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050056050 + 1061050056051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050056051).

Almost surely, 2^{2122100112101} is an apocalyptic number.

It is an amenable number.

2122100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122100112101 is an equidigital number, since it uses as much as digits as its factorization.

2122100112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2122100112101 its reverse (1012110012212), we get a palindrome (3134210124313).

The spelling of 2122100112101 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, one hundred one".