100103131311121 has 2 divisors, whose sum is σ = 100103131311122. Its totient is φ = 100103131311120.

The previous prime is 100103131311107. The next prime is 100103131311149. The reversal of 100103131311121 is 121113131301001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98618584014721 + 1484547296400 = 9930689^2 + 1218420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100103131311121 is a prime.

It is not a weakly prime, because it can be changed into another prime (100103131317121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051565655560 + 50051565655561.

It is an arithmetic number, because the mean of its divisors is an integer number (50051565655561).

Almost surely, 2^{100103131311121} is an apocalyptic number.

It is an amenable number.

100103131311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100103131311121 is an equidigital number, since it uses as much as digits as its factorization.

100103131311121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100103131311121 its reverse (121113131301001), we get a palindrome (221216262612122).

The spelling of 100103131311121 in words is "one hundred trillion, one hundred three billion, one hundred thirty-one million, three hundred eleven thousand, one hundred twenty-one".