101022210000113 has 2 divisors, whose sum is σ = 101022210000114. Its totient is φ = 101022210000112.

The previous prime is 101022210000013. The next prime is 101022210000139. The reversal of 101022210000113 is 311000012220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57228362593249 + 43793847406864 = 7564943^2 + 6617692^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022210000113 - 2¹⁰ = 101022209999089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022210000163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511105000056 + 50511105000057.

It is an arithmetic number, because the mean of its divisors is an integer number (50511105000057).

Almost surely, 2^{101022210000113} is an apocalyptic number.

It is an amenable number.

101022210000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022210000113 is an equidigital number, since it uses as much as digits as its factorization.

101022210000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101022210000113 its reverse (311000012220101), we get a palindrome (412022222220214).

The spelling of 101022210000113 in words is "one hundred one trillion, twenty-two billion, two hundred ten million, one hundred thirteen", and thus it is an aban number.