10110102012001 has 2 divisors, whose sum is σ = 10110102012002. Its totient is φ = 10110102012000.

The previous prime is 10110102011983. The next prime is 10110102012041. The reversal of 10110102012001 is 10021020101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9451043805025 + 659058206976 = 3074255^2 + 811824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110102012001 - 2¹⁷ = 10110101880929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110102012041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055051006000 + 5055051006001.

It is an arithmetic number, because the mean of its divisors is an integer number (5055051006001).

Almost surely, 2^{10110102012001} is an apocalyptic number.

It is an amenable number.

10110102012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110102012001 is an equidigital number, since it uses as much as digits as its factorization.

10110102012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110102012001 its reverse (10021020101101), we get a palindrome (20131122113102).

The spelling of 10110102012001 in words is "ten trillion, one hundred ten billion, one hundred two million, twelve thousand, one".