114132114031101 has 16 divisors (see below), whose sum is σ = 153694672769088. Its totient is φ = 75328931600000.

The previous prime is 114132114031043. The next prime is 114132114031109. The reversal of 114132114031101 is 101130411231411.

It is a cyclic number.

It is not a de Polignac number, because 114132114031101 - 2¹⁸ = 114132113768957 is a prime.

It is a super-2 number, since 2×114132114031101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132114031109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10547031 + ... + 18425636.

It is an arithmetic number, because the mean of its divisors is an integer number (9605917048068).

Almost surely, 2^{114132114031101} is an apocalyptic number.

It is an amenable number.

114132114031101 is a deficient number, since it is larger than the sum of its proper divisors (39562558737987).

114132114031101 is a wasteful number, since it uses less digits than its factorization.

114132114031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985772.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 114132114031101 its reverse (101130411231411), we get a palindrome (215262525262512).

The spelling of 114132114031101 in words is "one hundred fourteen trillion, one hundred thirty-two billion, one hundred fourteen million, thirty-one thousand, one hundred one".