201321022100 has 108 divisors (see below), whose sum is σ = 480985881600. Its totient is φ = 73086657600.

The previous prime is 201321022099. The next prime is 201321022117. The reversal of 201321022100 is 1220123102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7476461 + ... + 7503339.

Almost surely, 2^201321022100 is an apocalyptic number.

201321022100 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 201321022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240492940800).

201321022100 is an abundant number, since it is smaller than the sum of its proper divisors (279664859500).

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

201321022100 is a wasteful number, since it uses less digits than its factorization.

201321022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27534 (or 27516 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201321022100 its reverse (1220123102), we get a palindrome (202541145202).

The spelling of 201321022100 in words is "two hundred one billion, three hundred twenty-one million, twenty-two thousand, one hundred".