202201221000114 has 96 divisors (see below), whose sum is σ = 506756144329344. Its totient is φ = 57071788243200.

The previous prime is 202201221000113. The next prime is 202201221000143. The reversal of 202201221000114 is 411000122102202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202201221000113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152371264 + ... + 153692564.

It is an arithmetic number, because the mean of its divisors is an integer number (5278709836764).

Almost surely, 2^{202201221000114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201221000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253378072164672).

202201221000114 is an abundant number, since it is smaller than the sum of its proper divisors (304554923329230).

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

202201221000114 is a wasteful number, since it uses less digits than its factorization.

202201221000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336032 (or 1336029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201221000114 its reverse (411000122102202), we get a palindrome (613201343102316).

The spelling of 202201221000114 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred fourteen", and thus it is an aban number.