32400114201101 has 16 divisors (see below), whose sum is σ = 36606261628800. Its totient is φ = 28493522523648.

The previous prime is 32400114201029. The next prime is 32400114201107. The reversal of 32400114201101 is 10110241100423.

It is not a de Polignac number, because 32400114201101 - 2¹⁸ = 32400113938957 is a prime.

It is a super-2 number, since 2×32400114201101² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400114201107) 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, 687030881 + ... + 687078038.

It is an arithmetic number, because the mean of its divisors is an integer number (2287891351800).

Almost surely, 2^{32400114201101} is an apocalyptic number.

It is an amenable number.

32400114201101 is a deficient number, since it is larger than the sum of its proper divisors (4206147427699).

32400114201101 is a wasteful number, since it uses less digits than its factorization.

32400114201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374109028.

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

Adding to 32400114201101 its reverse (10110241100423), we get a palindrome (42510355301524).

The spelling of 32400114201101 in words is "thirty-two trillion, four hundred billion, one hundred fourteen million, two hundred one thousand, one hundred one".