114234121001 has 64 divisors (see below), whose sum is σ = 155485757952. Its totient is φ = 81043200000.

The previous prime is 114234120967. The next prime is 114234121003. The reversal of 114234121001 is 100121432411.

It is not a de Polignac number, because 114234121001 - 2²⁶ = 114167012137 is a prime.

It is a super-2 number, since 2×114234121001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114234121003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28407371 + ... + 28411391.

It is an arithmetic number, because the mean of its divisors is an integer number (2429464968).

Almost surely, 2^114234121001 is an apocalyptic number.

114234121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114234121001 is a deficient number, since it is larger than the sum of its proper divisors (41251636951).

114234121001 is a wasteful number, since it uses less digits than its factorization.

114234121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114234121001 its reverse (100121432411), we get a palindrome (214355553412).

It can be divided in two parts, 1142 and 34121001, that added together give a palindrome (34122143).

The spelling of 114234121001 in words is "one hundred fourteen billion, two hundred thirty-four million, one hundred twenty-one thousand, one".