212201320100 has 288 divisors, whose sum is σ = 595161907200. Its totient is φ = 63724147200.

The previous prime is 212201320091. The next prime is 212201320117. The reversal of 212201320100 is 1023102212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165911261 + ... + 165912539.

It is an arithmetic number, because the mean of its divisors is an integer number (2066534400).

Almost surely, 2^212201320100 is an apocalyptic number.

212201320100 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 212201320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297580953600).

212201320100 is an abundant number, since it is smaller than the sum of its proper divisors (382960587100).

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

212201320100 is a wasteful number, since it uses less digits than its factorization.

212201320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2076 counting only the distinct ones).

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

Adding to 212201320100 its reverse (1023102212), we get a palindrome (213224422312).

The spelling of 212201320100 in words is "two hundred twelve billion, two hundred one million, three hundred twenty thousand, one hundred".