98022100122137 has 2 divisors, whose sum is σ = 98022100122138. Its totient is φ = 98022100122136.

The previous prime is 98022100122083. The next prime is 98022100122151. The reversal of 98022100122137 is 73122100122089.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98022098173321 + 1948816 = 9900611^2 + 1396^2 .

It is an emirp because it is prime and its reverse (73122100122089) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 98022100122137 - 2¹⁸ = 98022099859993 is a prime.

It is a super-2 number, since 2×98022100122137² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98022100122137.

It is not a weakly prime, because it can be changed into another prime (98022100122637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49011050061068 + 49011050061069.

It is an arithmetic number, because the mean of its divisors is an integer number (49011050061069).

Almost surely, 2^{98022100122137} is an apocalyptic number.

It is an amenable number.

98022100122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

98022100122137 is an equidigital number, since it uses as much as digits as its factorization.

98022100122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 98022100122137 in words is "ninety-eight trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-seven".