2101967677631 has 2 divisors, whose sum is σ = 2101967677632. Its totient is φ = 2101967677630.

The previous prime is 2101967677603. The next prime is 2101967677633. The reversal of 2101967677631 is 1367767691012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101967677631 - 2³⁰ = 2100893935807 is a prime.

It is a super-2 number, since 2×2101967677631² (a number of 25 digits) contains 22 as substring.

Together with 2101967677633, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101967677633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050983838815 + 1050983838816.

It is an arithmetic number, because the mean of its divisors is an integer number (1050983838816).

Almost surely, 2^{2101967677631} is an apocalyptic number.

2101967677631 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101967677631 is an equidigital number, since it uses as much as digits as its factorization.

2101967677631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000752, while the sum is 56.

The spelling of 2101967677631 in words is "two trillion, one hundred one billion, nine hundred sixty-seven million, six hundred seventy-seven thousand, six hundred thirty-one".