100121000000137 has 2 divisors, whose sum is σ = 100121000000138. Its totient is φ = 100121000000136.

The previous prime is 100121000000093. The next prime is 100121000000227. The reversal of 100121000000137 is 731000000121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55819143230841 + 44301856769296 = 7471221^2 + 6655964^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121000000137 - 2⁷ = 100121000000009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121000000137.

It is not a weakly prime, because it can be changed into another prime (100121006000137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500000068 + 50060500000069.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500000069).

Almost surely, 2^{100121000000137} is an apocalyptic number.

It is an amenable number.

100121000000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121000000137 is an equidigital number, since it uses as much as digits as its factorization.

100121000000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 100121000000137 its reverse (731000000121001), we get a palindrome (831121000121138).

The spelling of 100121000000137 in words is "one hundred trillion, one hundred twenty-one billion, one hundred thirty-seven", and thus it is an aban number.