114400102201 has 16 divisors (see below), whose sum is σ = 148829948928. Its totient is φ = 85267155600.

The previous prime is 114400102183. The next prime is 114400102211. The reversal of 114400102201 is 102201004411.

It is a happy number.

It is not a de Polignac number, because 114400102201 - 2¹¹ = 114400100153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114400102211) 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, 32296395 + ... + 32299936.

It is an arithmetic number, because the mean of its divisors is an integer number (9301871808).

Almost surely, 2^114400102201 is an apocalyptic number.

114400102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114400102201 is a deficient number, since it is larger than the sum of its proper divisors (34429846727).

114400102201 is a wasteful number, since it uses less digits than its factorization.

114400102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64596372.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114400102201 its reverse (102201004411), we get a palindrome (216601106612).

The spelling of 114400102201 in words is "one hundred fourteen billion, four hundred million, one hundred two thousand, two hundred one".