2114133101 has 2 divisors, whose sum is σ = 2114133102. Its totient is φ = 2114133100.

The previous prime is 2114133083. The next prime is 2114133163. The reversal of 2114133101 is 1013314112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2031304900 + 82828201 = 45070^2 + 9101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114133101 - 2²⁶ = 2047024237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2114133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114183101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057066550 + 1057066551.

It is an arithmetic number, because the mean of its divisors is an integer number (1057066551).

Almost surely, 2^2114133101 is an apocalyptic number.

It is an amenable number.

2114133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114133101 is an equidigital number, since it uses as much as digits as its factorization.

2114133101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2114133101 is about 45979.7031417124. The cubic root of 2114133101 is about 1283.4455307690.

Adding to 2114133101 its reverse (1013314112), we get a palindrome (3127447213).

The spelling of 2114133101 in words is "two billion, one hundred fourteen million, one hundred thirty-three thousand, one hundred one".