2100101012137 has 2 divisors, whose sum is σ = 2100101012138. Its totient is φ = 2100101012136.

The previous prime is 2100101012077. The next prime is 2100101012179. The reversal of 2100101012137 is 7312101010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1829821638681 + 270279373456 = 1352709^2 + 519884^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100101012137 is a prime.

It is a super-2 number, since 2×2100101012137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100101012197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050506068 + 1050050506069.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050506069).

Almost surely, 2^{2100101012137} is an apocalyptic number.

It is an amenable number.

2100101012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101012137 is an equidigital number, since it uses as much as digits as its factorization.

2100101012137 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 2100101012137 its reverse (7312101010012), we get a palindrome (9412202022149).

The spelling of 2100101012137 in words is "two trillion, one hundred billion, one hundred one million, twelve thousand, one hundred thirty-seven".