100122002137 has 2 divisors, whose sum is σ = 100122002138. Its totient is φ = 100122002136.

The previous prime is 100122002131. The next prime is 100122002209. The reversal of 100122002137 is 731200221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51945703056 + 48176299081 = 227916^2 + 219491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122002137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122002131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061001068 + 50061001069.

It is an arithmetic number, because the mean of its divisors is an integer number (50061001069).

Almost surely, 2^100122002137 is an apocalyptic number.

It is an amenable number.

100122002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122002137 is an equidigital number, since it uses as much as digits as its factorization.

100122002137 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 19.

Adding to 100122002137 its reverse (731200221001), we get a palindrome (831322223138).

The spelling of 100122002137 in words is "one hundred billion, one hundred twenty-two million, two thousand, one hundred thirty-seven".