2117000101 has 2 divisors, whose sum is σ = 2117000102. Its totient is φ = 2117000100.

The previous prime is 2117000057. The next prime is 2117000107. The reversal of 2117000101 is 1010007112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1855369476 + 261630625 = 43074^2 + 16175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117000101 - 2²¹ = 2114902949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058500050 + 1058500051.

It is an arithmetic number, because the mean of its divisors is an integer number (1058500051).

Almost surely, 2^2117000101 is an apocalyptic number.

It is an amenable number.

2117000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117000101 is an equidigital number, since it uses as much as digits as its factorization.

2117000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 2117000101 is about 46010.8693788761. The cubic root of 2117000101 is about 1284.0254337489.

Adding to 2117000101 its reverse (1010007112), we get a palindrome (3127007213).

The spelling of 2117000101 in words is "two billion, one hundred seventeen million, one hundred one", and thus it is an aban number.