2101110022031 has 2 divisors, whose sum is σ = 2101110022032. Its totient is φ = 2101110022030.

The previous prime is 2101110021977. The next prime is 2101110022069. The reversal of 2101110022031 is 1302200111012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101110022031 - 2¹⁴ = 2101110005647 is a prime.

It is a super-2 number, since 2×2101110022031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101110021997 and 2101110022015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101110025031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555011015 + 1050555011016.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555011016).

Almost surely, 2^{2101110022031} is an apocalyptic number.

2101110022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101110022031 is an equidigital number, since it uses as much as digits as its factorization.

2101110022031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2101110022031 its reverse (1302200111012), we get a palindrome (3403310133043).

The spelling of 2101110022031 in words is "two trillion, one hundred one billion, one hundred ten million, twenty-two thousand, thirty-one".