201211022100 has 144 divisors (see below), whose sum is σ = 635639941440. Its totient is φ = 48736588800.

The previous prime is 201211022099. The next prime is 201211022137. The reversal of 201211022100 is 1220112102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 3911346 + ... + 3962454.

It is an arithmetic number, because the mean of its divisors is an integer number (4414166260).

Almost surely, 2^201211022100 is an apocalyptic number.

201211022100 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 201211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317819970720).

201211022100 is an abundant number, since it is smaller than the sum of its proper divisors (434428919340).

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

201211022100 is a wasteful number, since it uses less digits than its factorization.

201211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52330 (or 52323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201211022100 its reverse (1220112102), we get a palindrome (202431134202).

The spelling of 201211022100 in words is "two hundred one billion, two hundred eleven million, twenty-two thousand, one hundred".