10002120000031 has 2 divisors, whose sum is σ = 10002120000032. Its totient is φ = 10002120000030.

The previous prime is 10002120000011. The next prime is 10002120000049. The reversal of 10002120000031 is 13000002120001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10002120000031 - 2²⁵ = 10002086445599 is a prime.

It is a super-2 number, since 2×10002120000031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002119999972 and 10002120000017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002120000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060000015 + 5001060000016.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060000016).

Almost surely, 2^{10002120000031} is an apocalyptic number.

10002120000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120000031 is an equidigital number, since it uses as much as digits as its factorization.

10002120000031 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 10.

Adding to 10002120000031 its reverse (13000002120001), we get a palindrome (23002122120032).

The spelling of 10002120000031 in words is "ten trillion, two billion, one hundred twenty million, thirty-one", and thus it is an aban number.