2034114101 has 2 divisors, whose sum is σ = 2034114102. Its totient is φ = 2034114100.

The previous prime is 2034114023. The next prime is 2034114133. The reversal of 2034114101 is 1014114302.

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., 1733056900 + 301057201 = 41630^2 + 17351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034114101 - 2²² = 2029919797 is a prime.

It is a super-3 number, since 3×2034114101³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2034114101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034113101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017057050 + 1017057051.

It is an arithmetic number, because the mean of its divisors is an integer number (1017057051).

Almost surely, 2^2034114101 is an apocalyptic number.

It is an amenable number.

2034114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034114101 is an equidigital number, since it uses as much as digits as its factorization.

2034114101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2034114101 is about 45101.1540983155. The cubic root of 2034114101 is about 1267.0442143791.

Adding to 2034114101 its reverse (1014114302), we get a palindrome (3048228403).

The spelling of 2034114101 in words is "two billion, thirty-four million, one hundred fourteen thousand, one hundred one".