2110001900117 has 2 divisors, whose sum is σ = 2110001900118. Its totient is φ = 2110001900116.

The previous prime is 2110001899987. The next prime is 2110001900137. The reversal of 2110001900117 is 7110091000112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1313925742756 + 796076157361 = 1146266^2 + 892231^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110001900117 - 2⁸ = 2110001899861 is a prime.

It is a super-2 number, since 2×2110001900117² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110001900092 and 2110001900101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110001900137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055000950058 + 1055000950059.

It is an arithmetic number, because the mean of its divisors is an integer number (1055000950059).

Almost surely, 2^{2110001900117} is an apocalyptic number.

It is an amenable number.

2110001900117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110001900117 is an equidigital number, since it uses as much as digits as its factorization.

2110001900117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 2110001900117 its reverse (7110091000112), we get a palindrome (9220092900229).

The spelling of 2110001900117 in words is "two trillion, one hundred ten billion, one million, nine hundred thousand, one hundred seventeen".