101211210137 has 2 divisors, whose sum is σ = 101211210138. Its totient is φ = 101211210136.

The previous prime is 101211210119. The next prime is 101211210169. The reversal of 101211210137 is 731012112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66821733001 + 34389477136 = 258499^2 + 185444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211210137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101211210937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605605068 + 50605605069.

It is an arithmetic number, because the mean of its divisors is an integer number (50605605069).

Almost surely, 2^101211210137 is an apocalyptic number.

It is an amenable number.

101211210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211210137 is an equidigital number, since it uses as much as digits as its factorization.

101211210137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101211210137 its reverse (731012112101), we get a palindrome (832223322238).

The spelling of 101211210137 in words is "one hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred thirty-seven".