201012220212100 has 576 divisors, whose sum is σ = 494804831963904. Its totient is φ = 70267392000000.

The previous prime is 201012220212077. The next prime is 201012220212179. The reversal of 201012220212100 is 1212022210102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145555553410 + ... + 145555554790.

It is an arithmetic number, because the mean of its divisors is an integer number (859036166604).

Almost surely, 2^{201012220212100} is an apocalyptic number.

201012220212100 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 201012220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247402415981952).

201012220212100 is an abundant number, since it is smaller than the sum of its proper divisors (293792611751804).

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

201012220212100 is a wasteful number, since it uses less digits than its factorization.

201012220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012220212100 its reverse (1212022210102), we get a palindrome (202224242422202).

It can be divided in two parts, 2010122 and 20212100, that added together give a palindrome (22222222).

The spelling of 201012220212100 in words is "two hundred one trillion, twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred".