201212100 has 90 divisors (see below), whose sum is σ = 652276394. Its totient is φ = 53654400.

The previous prime is 201212059. The next prime is 201212101. The reversal of 201212100 is 1212102.

201212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 201185856 = 162^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201212101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4321 + ... + 20520.

Almost surely, 2^201212100 is an apocalyptic number.

201212100 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 201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326138197).

201212100 is an abundant number, since it is smaller than the sum of its proper divisors (451064294).

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

201212100 is a wasteful number, since it uses less digits than its factorization.

201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867 (or 24851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201212100 is about 14184.9250967356. The cubic root of 201212100 is about 585.9825696532.

Adding to 201212100 its reverse (1212102), we get a palindrome (202424202).

The spelling of 201212100 in words is "two hundred one million, two hundred twelve thousand, one hundred".