114002432120101 has 48 divisors (see below), whose sum is σ = 138876414969600. Its totient is φ = 93192581801088.

The previous prime is 114002432120053. The next prime is 114002432120111. The reversal of 114002432120101 is 101021234200411.

It is not a de Polignac number, because 114002432120101 - 2²⁵ = 114002398565669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114002432120111) 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, 37446340 + ... + 40376146.

It is an arithmetic number, because the mean of its divisors is an integer number (2893258645200).

Almost surely, 2^{114002432120101} is an apocalyptic number.

It is an amenable number.

114002432120101 is a deficient number, since it is larger than the sum of its proper divisors (24873982849499).

114002432120101 is a wasteful number, since it uses less digits than its factorization.

114002432120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930186 (or 2930179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 114002432120101 its reverse (101021234200411), we get a palindrome (215023666320512).

The spelling of 114002432120101 in words is "one hundred fourteen trillion, two billion, four hundred thirty-two million, one hundred twenty thousand, one hundred one".