1002120100031 has 2 divisors, whose sum is σ = 1002120100032. Its totient is φ = 1002120100030.

The previous prime is 1002120100001. The next prime is 1002120100039. The reversal of 1002120100031 is 1300010212001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1300010212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002120100031 - 2²⁶ = 1002052991167 is a prime.

It is a super-2 number, since 2×1002120100031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002120099985 and 1002120100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002120100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060050015 + 501060050016.

It is an arithmetic number, because the mean of its divisors is an integer number (501060050016).

Almost surely, 2^{1002120100031} is an apocalyptic number.

1002120100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120100031 is an equidigital number, since it uses as much as digits as its factorization.

1002120100031 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 11.

Adding to 1002120100031 its reverse (1300010212001), we get a palindrome (2302130312032).

The spelling of 1002120100031 in words is "one trillion, two billion, one hundred twenty million, one hundred thousand, thirty-one".