100122010110137 has 2 divisors, whose sum is σ = 100122010110138. Its totient is φ = 100122010110136.

The previous prime is 100122010110061. The next prime is 100122010110229. The reversal of 100122010110137 is 731011010221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99389315197561 + 732694912576 = 9969419^2 + 855976^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122010110137 - 2²⁰ = 100122009061561 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122010113137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061005055068 + 50061005055069.

It is an arithmetic number, because the mean of its divisors is an integer number (50061005055069).

Almost surely, 2^{100122010110137} is an apocalyptic number.

It is an amenable number.

100122010110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122010110137 is an equidigital number, since it uses as much as digits as its factorization.

100122010110137 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 100122010110137 its reverse (731011010221001), we get a palindrome (831133020331138).

The spelling of 100122010110137 in words is "one hundred trillion, one hundred twenty-two billion, ten million, one hundred ten thousand, one hundred thirty-seven".