100131010213021 has 2 divisors, whose sum is σ = 100131010213022. Its totient is φ = 100131010213020.

The previous prime is 100131010212991. The next prime is 100131010213093. The reversal of 100131010213021 is 120312010131001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98991774190521 + 1139236022500 = 9949461^2 + 1067350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131010213021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131010212986 and 100131010213004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131010213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065505106510 + 50065505106511.

It is an arithmetic number, because the mean of its divisors is an integer number (50065505106511).

Almost surely, 2^{100131010213021} is an apocalyptic number.

It is an amenable number.

100131010213021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131010213021 is an equidigital number, since it uses as much as digits as its factorization.

100131010213021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100131010213021 its reverse (120312010131001), we get a palindrome (220443020344022).

The spelling of 100131010213021 in words is "one hundred trillion, one hundred thirty-one billion, ten million, two hundred thirteen thousand, twenty-one".