2131023300101 has 2 divisors, whose sum is σ = 2131023300102. Its totient is φ = 2131023300100.

The previous prime is 2131023300031. The next prime is 2131023300167. The reversal of 2131023300101 is 1010033201312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1556383497601 + 574639802500 = 1247551^2 + 758050^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131023300101 - 2¹⁴ = 2131023283717 is a prime.

It is a super-2 number, since 2×2131023300101² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2131023300101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131023300191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065511650050 + 1065511650051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065511650051).

Almost surely, 2^{2131023300101} is an apocalyptic number.

It is an amenable number.

2131023300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131023300101 is an equidigital number, since it uses as much as digits as its factorization.

2131023300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2131023300101 its reverse (1010033201312), we get a palindrome (3141056501413).

The spelling of 2131023300101 in words is "two trillion, one hundred thirty-one billion, twenty-three million, three hundred thousand, one hundred one".