2101012001117 has 2 divisors, whose sum is σ = 2101012001118. Its totient is φ = 2101012001116.

The previous prime is 2101012001107. The next prime is 2101012001203. The reversal of 2101012001117 is 7111002101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2079692788996 + 21319212121 = 1442114^2 + 146011^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101012001117 - 2⁸ = 2101012000861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101012001095 and 2101012001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101012001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050506000558 + 1050506000559.

It is an arithmetic number, because the mean of its divisors is an integer number (1050506000559).

Almost surely, 2^{2101012001117} is an apocalyptic number.

It is an amenable number.

2101012001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101012001117 is an equidigital number, since it uses as much as digits as its factorization.

2101012001117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 2101012001117 its reverse (7111002101012), we get a palindrome (9212014102129).

The spelling of 2101012001117 in words is "two trillion, one hundred one billion, twelve million, one thousand, one hundred seventeen".