101030013323021 has 2 divisors, whose sum is σ = 101030013323022. Its totient is φ = 101030013323020.

The previous prime is 101030013323011. The next prime is 101030013323087. The reversal of 101030013323021 is 120323310030101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87075231250921 + 13954782072100 = 9331411^2 + 3735610^2 .

It is a cyclic number.

It is not a de Polignac number, because 101030013323021 - 2⁶ = 101030013322957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101030013322984 and 101030013323002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101030013323011) 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, 50515006661510 + 50515006661511.

It is an arithmetic number, because the mean of its divisors is an integer number (50515006661511).

Almost surely, 2^{101030013323021} is an apocalyptic number.

It is an amenable number.

101030013323021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101030013323021 is an equidigital number, since it uses as much as digits as its factorization.

101030013323021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101030013323021 its reverse (120323310030101), we get a palindrome (221353323353122).

The spelling of 101030013323021 in words is "one hundred one trillion, thirty billion, thirteen million, three hundred twenty-three thousand, twenty-one".