101102112121037 has 2 divisors, whose sum is σ = 101102112121038. Its totient is φ = 101102112121036.

The previous prime is 101102112121009. The next prime is 101102112121079. The reversal of 101102112121037 is 730121211201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82892484729961 + 18209627391076 = 9104531^2 + 4267274^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102112121037 - 2⁶ = 101102112120973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102112121097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551056060518 + 50551056060519.

It is an arithmetic number, because the mean of its divisors is an integer number (50551056060519).

Almost surely, 2^{101102112121037} is an apocalyptic number.

It is an amenable number.

101102112121037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102112121037 is an equidigital number, since it uses as much as digits as its factorization.

101102112121037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 101102112121037 its reverse (730121211201101), we get a palindrome (831223323322138).

The spelling of 101102112121037 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, thirty-seven".