21122102100137 has 2 divisors, whose sum is σ = 21122102100138. Its totient is φ = 21122102100136.

The previous prime is 21122102100109. The next prime is 21122102100157. The reversal of 21122102100137 is 73100120122112.

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., 19671965925481 + 1450136174656 = 4435309^2 + 1204216^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122102100137 - 2¹² = 21122102096041 is a prime.

It is a super-2 number, since 2×21122102100137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122102100157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561051050068 + 10561051050069.

It is an arithmetic number, because the mean of its divisors is an integer number (10561051050069).

Almost surely, 2^{21122102100137} is an apocalyptic number.

It is an amenable number.

21122102100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122102100137 is an equidigital number, since it uses as much as digits as its factorization.

21122102100137 is an evil number, because the sum of its binary digits is even.

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

Adding to 21122102100137 its reverse (73100120122112), we get a palindrome (94222222222249).

The spelling of 21122102100137 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand, one hundred thirty-seven".