10010102220113 has 2 divisors, whose sum is σ = 10010102220114. Its totient is φ = 10010102220112.

The previous prime is 10010102220007. The next prime is 10010102220121. The reversal of 10010102220113 is 31102220101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6257637331729 + 3752464888384 = 2501527^2 + 1937128^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010102220113 - 2¹⁸ = 10010101957969 is a prime.

It is a super-2 number, since 2×10010102220113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010102240113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005051110056 + 5005051110057.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051110057).

Almost surely, 2^{10010102220113} is an apocalyptic number.

It is an amenable number.

10010102220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010102220113 is an equidigital number, since it uses as much as digits as its factorization.

10010102220113 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 14.

Adding to 10010102220113 its reverse (31102220101001), we get a palindrome (41112322321114).

The spelling of 10010102220113 in words is "ten trillion, ten billion, one hundred two million, two hundred twenty thousand, one hundred thirteen".