114111401001 has 32 divisors (see below), whose sum is σ = 175934239488. Its totient is φ = 65160775680.

The previous prime is 114111400987. The next prime is 114111401017. The reversal of 114111401001 is 100104111411.

It is not a de Polignac number, because 114111401001 - 2¹⁸ = 114111138857 is a prime.

It is a super-2 number, since 2×114111401001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114111401051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164996 + ... + 1259141.

It is an arithmetic number, because the mean of its divisors is an integer number (5497944984).

Almost surely, 2^114111401001 is an apocalyptic number.

It is an amenable number.

114111401001 is a deficient number, since it is larger than the sum of its proper divisors (61822838487).

114111401001 is a wasteful number, since it uses less digits than its factorization.

114111401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424241.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 114111401001 its reverse (100104111411), we get a palindrome (214215512412).

The spelling of 114111401001 in words is "one hundred fourteen billion, one hundred eleven million, four hundred one thousand, one".