202214101412202 has 128 divisors (see below), whose sum is σ = 455329750284288. Its totient is φ = 59833022135040.

The previous prime is 202214101412201. The next prime is 202214101412293.

202214101412202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (202214101412201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104619843 + ... + 1104802889.

It is an arithmetic number, because the mean of its divisors is an integer number (3557263674096).

Almost surely, 2^{202214101412202} is an apocalyptic number.

202214101412202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202214101412202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664875142144).

202214101412202 is an abundant number, since it is smaller than the sum of its proper divisors (253115648872086).

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

202214101412202 is a wasteful number, since it uses less digits than its factorization.

202214101412202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186345 (or 186323 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 20221410 and 1412202, that added together give a palindrome (21633612).

The spelling of 202214101412202 in words is "two hundred two trillion, two hundred fourteen billion, one hundred one million, four hundred twelve thousand, two hundred two".