114112211301 has 48 divisors (see below), whose sum is σ = 180503369280. Its totient is φ = 68894012160.

The previous prime is 114112211287. The next prime is 114112211383. The reversal of 114112211301 is 103112211411.

114112211301 is a `hidden beast` number, since 1 + 1 + 411 + 221 + 1 + 30 + 1 = 666.

It is not a de Polignac number, because 114112211301 - 2¹³ = 114112203109 is a prime.

It is a super-2 number, since 2×114112211301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114112211401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33432871 + ... + 33436283.

It is an arithmetic number, because the mean of its divisors is an integer number (3760486860).

Almost surely, 2^114112211301 is an apocalyptic number.

114112211301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114112211301 is a deficient number, since it is larger than the sum of its proper divisors (66391157979).

114112211301 is a wasteful number, since it uses less digits than its factorization.

114112211301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 114112211301 its reverse (103112211411), we get a palindrome (217224422712).

The spelling of 114112211301 in words is "one hundred fourteen billion, one hundred twelve million, two hundred eleven thousand, three hundred one".