21122101002137 has 2 divisors, whose sum is σ = 21122101002138. Its totient is φ = 21122101002136.

The previous prime is 21122101002097. The next prime is 21122101002173. The reversal of 21122101002137 is 73120010122112.

It is a happy number.

Together with next prime (21122101002173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11375348125696 + 9746752876441 = 3372736^2 + 3121979^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122101002137 - 2²⁴ = 21122084224921 is a prime.

It is a super-2 number, since 2×21122101002137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122101002637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561050501068 + 10561050501069.

It is an arithmetic number, because the mean of its divisors is an integer number (10561050501069).

Almost surely, 2^{21122101002137} is an apocalyptic number.

It is an amenable number.

21122101002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122101002137 is an equidigital number, since it uses as much as digits as its factorization.

21122101002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 21122101002137 its reverse (73120010122112), we get a palindrome (94242111124249).

The spelling of 21122101002137 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred thirty-seven".