100101100212137 has 2 divisors, whose sum is σ = 100101100212138. Its totient is φ = 100101100212136.

The previous prime is 100101100212107. The next prime is 100101100212167. The reversal of 100101100212137 is 731212001101001.

It is a balanced prime because it is at equal distance from previous prime (100101100212107) and next prime (100101100212167).

It can be written as a sum of positive squares in only one way, i.e., 100099944960016 + 1155252121 = 10004996^2 + 33989^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100212137 - 2¹⁰ = 100101100211113 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101100212107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550106068 + 50050550106069.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550106069).

Almost surely, 2^{100101100212137} is an apocalyptic number.

It is an amenable number.

100101100212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100212137 is an equidigital number, since it uses as much as digits as its factorization.

100101100212137 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 20.

Adding to 100101100212137 its reverse (731212001101001), we get a palindrome (831313101313138).

The spelling of 100101100212137 in words is "one hundred trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one hundred thirty-seven".