10112111202001 has 2 divisors, whose sum is σ = 10112111202002. Its totient is φ = 10112111202000.

The previous prime is 10112111201989. The next prime is 10112111202023. The reversal of 10112111202001 is 10020211121101.

It is a happy number.

10112111202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6406851942976 + 3705259259025 = 2531176^2 + 1924905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112111202001 - 2⁴³ = 1316018179793 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112111202041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056055601000 + 5056055601001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056055601001).

Almost surely, 2^{10112111202001} is an apocalyptic number.

It is an amenable number.

10112111202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112111202001 is an equidigital number, since it uses as much as digits as its factorization.

10112111202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112111202001 its reverse (10020211121101), we get a palindrome (20132322323102).

The spelling of 10112111202001 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand, one".