2102022112031 has 2 divisors, whose sum is σ = 2102022112032. Its totient is φ = 2102022112030.

The previous prime is 2102022112013. The next prime is 2102022112037. The reversal of 2102022112031 is 1302112202012.

Together with previous prime (2102022112013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2102022112031 - 2¹⁴ = 2102022095647 is a prime.

It is a super-3 number, since 3×2102022112031³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102022112037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051011056015 + 1051011056016.

It is an arithmetic number, because the mean of its divisors is an integer number (1051011056016).

Almost surely, 2^{2102022112031} is an apocalyptic number.

2102022112031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102022112031 is an equidigital number, since it uses as much as digits as its factorization.

2102022112031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2102022112031 its reverse (1302112202012), we get a palindrome (3404134314043).

The spelling of 2102022112031 in words is "two trillion, one hundred two billion, twenty-two million, one hundred twelve thousand, thirty-one".