2122122000101 has 2 divisors, whose sum is σ = 2122122000102. Its totient is φ = 2122122000100.

The previous prime is 2122122000049. The next prime is 2122122000127. The reversal of 2122122000101 is 1010002212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2122120562500 + 1437601 = 1456750^2 + 1199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122122000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122122000301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061061000050 + 1061061000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061061000051).

Almost surely, 2^{2122122000101} is an apocalyptic number.

It is an amenable number.

2122122000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122122000101 is an equidigital number, since it uses as much as digits as its factorization.

2122122000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122122000101 its reverse (1010002212212), we get a palindrome (3132124212313).

The spelling of 2122122000101 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.