2121000100031 has 2 divisors, whose sum is σ = 2121000100032. Its totient is φ = 2121000100030.

The previous prime is 2121000099991. The next prime is 2121000100049. The reversal of 2121000100031 is 1300010001212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121000100031 is a prime.

It is a super-2 number, since 2×2121000100031² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121000099985 and 2121000100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121000102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500050015 + 1060500050016.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500050016).

Almost surely, 2^{2121000100031} is an apocalyptic number.

2121000100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121000100031 is an equidigital number, since it uses as much as digits as its factorization.

2121000100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2121000100031 its reverse (1300010001212), we get a palindrome (3421010101243).

The spelling of 2121000100031 in words is "two trillion, one hundred twenty-one billion, one hundred thousand, thirty-one".