2116220226137 has 2 divisors, whose sum is σ = 2116220226138. Its totient is φ = 2116220226136.

The previous prime is 2116220226097. The next prime is 2116220226143. The reversal of 2116220226137 is 7316220226112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1154386931776 + 961833294361 = 1074424^2 + 980731^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116220226137 - 2³⁴ = 2099040356953 is a prime.

It is a super-2 number, since 2×2116220226137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2116220226097 and 2116220226106.

It is not a weakly prime, because it can be changed into another prime (2116220226167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058110113068 + 1058110113069.

It is an arithmetic number, because the mean of its divisors is an integer number (1058110113069).

Almost surely, 2^{2116220226137} is an apocalyptic number.

It is an amenable number.

2116220226137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116220226137 is an equidigital number, since it uses as much as digits as its factorization.

2116220226137 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 35.

The spelling of 2116220226137 in words is "two trillion, one hundred sixteen billion, two hundred twenty million, two hundred twenty-six thousand, one hundred thirty-seven".