114201023104 has 64 divisors (see below), whose sum is σ = 260232730560. Its totient is φ = 48901607424.

The previous prime is 114201023089. The next prime is 114201023113. The reversal of 114201023104 is 401320102411.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009864 + ... + 1117240.

It is an arithmetic number, because the mean of its divisors is an integer number (4066136415).

Almost surely, 2^114201023104 is an apocalyptic number.

114201023104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114201023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130116365280).

114201023104 is an abundant number, since it is smaller than the sum of its proper divisors (146031707456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114201023104 is a wasteful number, since it uses less digits than its factorization.

114201023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108585 (or 108573 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114201023104 its reverse (401320102411), we get a palindrome (515521125515).

The spelling of 114201023104 in words is "one hundred fourteen billion, two hundred one million, twenty-three thousand, one hundred four".