114220010000 has 100 divisors (see below), whose sum is σ = 279077775900. Its totient is φ = 45268416000.

The previous prime is 114220009997. The next prime is 114220010053. The reversal of 114220010000 is 10022411.

It can be written as a sum of positive squares in 10 ways, for example, as 106143033616 + 8076976384 = 325796^2 + 89872^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1037606 + ... + 1142394.

It is an arithmetic number, because the mean of its divisors is an integer number (2790777759).

Almost surely, 2^114220010000 is an apocalyptic number.

114220010000 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 114220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139538887950).

114220010000 is an abundant number, since it is smaller than the sum of its proper divisors (164857765900).

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

114220010000 is a wasteful number, since it uses less digits than its factorization.

114220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104926 (or 104905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 114220010000 its reverse (10022411), we get a palindrome (114230032411).

The spelling of 114220010000 in words is "one hundred fourteen billion, two hundred twenty million, ten thousand".