100101010101137 has 2 divisors, whose sum is σ = 100101010101138. Its totient is φ = 100101010101136.

The previous prime is 100101010101083. The next prime is 100101010101149. The reversal of 100101010101137 is 731101010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52035505582096 + 48065504519041 = 7213564^2 + 6932929^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101010101137 - 2⁶ = 100101010101073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101010101187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505050568 + 50050505050569.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505050569).

Almost surely, 2^{100101010101137} is an apocalyptic number.

It is an amenable number.

100101010101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010101137 is an equidigital number, since it uses as much as digits as its factorization.

100101010101137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 100101010101137 its reverse (731101010101001), we get a palindrome (831202020202138).

The spelling of 100101010101137 in words is "one hundred trillion, one hundred one billion, ten million, one hundred one thousand, one hundred thirty-seven".