201402211300 has 144 divisors (see below), whose sum is σ = 468811400400. Its totient is φ = 74833920000.

The previous prime is 201402211289. The next prime is 201402211313. The reversal of 201402211300 is 3112204102.

It can be written as a sum of positive squares in 24 ways, for example, as 10810592676 + 190591618624 = 103974^2 + 436568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59921620 + ... + 59924980.

It is an arithmetic number, because the mean of its divisors is an integer number (3255634725).

Almost surely, 2^201402211300 is an apocalyptic number.

201402211300 is a gapful number since it is divisible by the number (20) 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 201402211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234405700200).

201402211300 is an abundant number, since it is smaller than the sum of its proper divisors (267409189100).

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

201402211300 is a wasteful number, since it uses less digits than its factorization.

201402211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201402211300 its reverse (3112204102), we get a palindrome (204514415402).

The spelling of 201402211300 in words is "two hundred one billion, four hundred two million, two hundred eleven thousand, three hundred".