100331311012157 has 2 divisors, whose sum is σ = 100331311012158. Its totient is φ = 100331311012156.

The previous prime is 100331311012147. The next prime is 100331311012277. The reversal of 100331311012157 is 751210113133001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74095494799876 + 26235816212281 = 8607874^2 + 5122091^2 .

It is an emirp because it is prime and its reverse (751210113133001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100331311012157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100331311012147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165655506078 + 50165655506079.

It is an arithmetic number, because the mean of its divisors is an integer number (50165655506079).

Almost surely, 2^{100331311012157} is an apocalyptic number.

It is an amenable number.

100331311012157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331311012157 is an equidigital number, since it uses as much as digits as its factorization.

100331311012157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

Adding to 100331311012157 its reverse (751210113133001), we get a palindrome (851541424145158).

The spelling of 100331311012157 in words is "one hundred trillion, three hundred thirty-one billion, three hundred eleven million, twelve thousand, one hundred fifty-seven".