10211101220113 has 2 divisors, whose sum is σ = 10211101220114. Its totient is φ = 10211101220112.

The previous prime is 10211101220101. The next prime is 10211101220137. The reversal of 10211101220113 is 31102210111201.

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., 6147583042624 + 4063518177489 = 2479432^2 + 2015817^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211101220113 - 2⁵ = 10211101220081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211101220713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105550610056 + 5105550610057.

It is an arithmetic number, because the mean of its divisors is an integer number (5105550610057).

Almost surely, 2^{10211101220113} is an apocalyptic number.

It is an amenable number.

10211101220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211101220113 is an equidigital number, since it uses as much as digits as its factorization.

10211101220113 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 16.

Adding to 10211101220113 its reverse (31102210111201), we get a palindrome (41313311331314).

The spelling of 10211101220113 in words is "ten trillion, two hundred eleven billion, one hundred one million, two hundred twenty thousand, one hundred thirteen".