101210020112137 has 2 divisors, whose sum is σ = 101210020112138. Its totient is φ = 101210020112136.

The previous prime is 101210020112101. The next prime is 101210020112203. The reversal of 101210020112137 is 731211020012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100051686677056 + 1158333435081 = 10002584^2 + 1076259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210020112137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101210020212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605010056068 + 50605010056069.

It is an arithmetic number, because the mean of its divisors is an integer number (50605010056069).

Almost surely, 2^{101210020112137} is an apocalyptic number.

It is an amenable number.

101210020112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210020112137 is an equidigital number, since it uses as much as digits as its factorization.

101210020112137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 101210020112137 its reverse (731211020012101), we get a palindrome (832421040124238).

The spelling of 101210020112137 in words is "one hundred one trillion, two hundred ten billion, twenty million, one hundred twelve thousand, one hundred thirty-seven".