2101002100031 has 2 divisors, whose sum is σ = 2101002100032. Its totient is φ = 2101002100030.

The previous prime is 2101002099961. The next prime is 2101002100049. The reversal of 2101002100031 is 1300012001012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101002100031 - 2²⁶ = 2100934991167 is a prime.

It is a super-2 number, since 2×2101002100031² (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 = 2101002099985 and 2101002100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101002100051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050501050015 + 1050501050016.

It is an arithmetic number, because the mean of its divisors is an integer number (1050501050016).

Almost surely, 2^{2101002100031} is an apocalyptic number.

2101002100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101002100031 is an equidigital number, since it uses as much as digits as its factorization.

2101002100031 is an evil number, because the sum of its binary digits is even.

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

Adding to 2101002100031 its reverse (1300012001012), we get a palindrome (3401014101043).

The spelling of 2101002100031 in words is "two trillion, one hundred one billion, two million, one hundred thousand, thirty-one".