101023131310021 has 2 divisors, whose sum is σ = 101023131310022. Its totient is φ = 101023131310020.

The previous prime is 101023131309941. The next prime is 101023131310099. The reversal of 101023131310021 is 120013131320101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87641333273025 + 13381798036996 = 9361695^2 + 3658114^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023131310021 - 2²¹ = 101023129212869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101023131310421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511565655010 + 50511565655011.

It is an arithmetic number, because the mean of its divisors is an integer number (50511565655011).

Almost surely, 2^{101023131310021} is an apocalyptic number.

It is an amenable number.

101023131310021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023131310021 is an equidigital number, since it uses as much as digits as its factorization.

101023131310021 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 19.

Adding to 101023131310021 its reverse (120013131320101), we get a palindrome (221036262630122).

The spelling of 101023131310021 in words is "one hundred one trillion, twenty-three billion, one hundred thirty-one million, three hundred ten thousand, twenty-one".