100331103121 has 2 divisors, whose sum is σ = 100331103122. Its totient is φ = 100331103120.

The previous prime is 100331103113. The next prime is 100331103151. The reversal of 100331103121 is 121301133001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53968400721 + 46362702400 = 232311^2 + 215320^2 .

It is a cyclic number.

It is not a de Polignac number, because 100331103121 - 2³ = 100331103113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100331103095 and 100331103104.

It is not a weakly prime, because it can be changed into another prime (100331103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165551560 + 50165551561.

It is an arithmetic number, because the mean of its divisors is an integer number (50165551561).

Almost surely, 2^100331103121 is an apocalyptic number.

It is an amenable number.

100331103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331103121 is an equidigital number, since it uses as much as digits as its factorization.

100331103121 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 16.

Adding to 100331103121 its reverse (121301133001), we get a palindrome (221632236122).

The spelling of 100331103121 in words is "one hundred billion, three hundred thirty-one million, one hundred three thousand, one hundred twenty-one".