114201100 has 72 divisors (see below), whose sum is σ = 269701488. Its totient is φ = 41721600.

The previous prime is 114201091. The next prime is 114201119. The reversal of 114201100 is 1102411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138690 + ... + 139510.

It is an arithmetic number, because the mean of its divisors is an integer number (3745854).

Almost surely, 2^114201100 is an apocalyptic number.

114201100 is a gapful number since it is divisible by the number (10) 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 114201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134850744).

114201100 is an abundant number, since it is smaller than the sum of its proper divisors (155500388).

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

114201100 is a wasteful number, since it uses less digits than its factorization.

114201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 114201100 is about 10686.4914728829. The cubic root of 114201100 is about 485.1657066540.

Adding to 114201100 its reverse (1102411), we get a palindrome (115303511).

The spelling of 114201100 in words is "one hundred fourteen million, two hundred one thousand, one hundred".