101211020112113 has 2 divisors, whose sum is σ = 101211020112114. Its totient is φ = 101211020112112.

The previous prime is 101211020112073. The next prime is 101211020112187. The reversal of 101211020112113 is 311211020112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92218050738529 + 8992969373584 = 9603023^2 + 2998828^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211020112113 - 2¹⁴ = 101211020095729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101211020112091 and 101211020112100.

It is not a weakly prime, because it can be changed into another prime (101211020112313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605510056056 + 50605510056057.

It is an arithmetic number, because the mean of its divisors is an integer number (50605510056057).

Almost surely, 2^{101211020112113} is an apocalyptic number.

It is an amenable number.

101211020112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211020112113 is an equidigital number, since it uses as much as digits as its factorization.

101211020112113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 101211020112113 its reverse (311211020112101), we get a palindrome (412422040224214).

The spelling of 101211020112113 in words is "one hundred one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred thirteen".