101021100013 has 2 divisors, whose sum is σ = 101021100014. Its totient is φ = 101021100012.

The previous prime is 101021099987. The next prime is 101021100079. The reversal of 101021100013 is 310001120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88459846084 + 12561253929 = 297422^2 + 112077^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021100013 - 2²⁹ = 100484229101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021100083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510550006 + 50510550007.

It is an arithmetic number, because the mean of its divisors is an integer number (50510550007).

Almost surely, 2^101021100013 is an apocalyptic number.

It is an amenable number.

101021100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021100013 is an equidigital number, since it uses as much as digits as its factorization.

101021100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101021100013 its reverse (310001120101), we get a palindrome (411022220114).

The spelling of 101021100013 in words is "one hundred one billion, twenty-one million, one hundred thousand, thirteen".