2111020010117 has 2 divisors, whose sum is σ = 2111020010118. Its totient is φ = 2111020010116.

The previous prime is 2111020010107. The next prime is 2111020010131. The reversal of 2111020010117 is 7110100201112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1833787222276 + 277232787841 = 1354174^2 + 526529^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111020010117 - 2³⁰ = 2109946268293 is a prime.

It is a super-2 number, since 2×2111020010117² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111020010095 and 2111020010104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111020010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055510005058 + 1055510005059.

It is an arithmetic number, because the mean of its divisors is an integer number (1055510005059).

Almost surely, 2^{2111020010117} is an apocalyptic number.

It is an amenable number.

2111020010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111020010117 is an equidigital number, since it uses as much as digits as its factorization.

2111020010117 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 2111020010117 its reverse (7110100201112), we get a palindrome (9221120211229).

The spelling of 2111020010117 in words is "two trillion, one hundred eleven billion, twenty million, ten thousand, one hundred seventeen".