2101100210137 has 2 divisors, whose sum is σ = 2101100210138. Its totient is φ = 2101100210136.

The previous prime is 2101100210117. The next prime is 2101100210141. The reversal of 2101100210137 is 7310120011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2101096634256 + 3575881 = 1449516^2 + 1891^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100210137 - 2¹¹ = 2101100208089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101100210117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550105068 + 1050550105069.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550105069).

Almost surely, 2^{2101100210137} is an apocalyptic number.

It is an amenable number.

2101100210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100210137 is an equidigital number, since it uses as much as digits as its factorization.

2101100210137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 2101100210137 its reverse (7310120011012), we get a palindrome (9411220221149).

The spelling of 2101100210137 in words is "two trillion, one hundred one billion, one hundred million, two hundred ten thousand, one hundred thirty-seven".