201211121120100 has 576 divisors, whose sum is σ = 720188571648000. Its totient is φ = 42236009625600.

The previous prime is 201211121120083. The next prime is 201211121120131. The reversal of 201211121120100 is 1021121112102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201211121120100.

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, 20639150026 + ... + 20639159774.

Almost surely, 2^{201211121120100} is an apocalyptic number.

201211121120100 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 201211121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360094285824000).

201211121120100 is an abundant number, since it is smaller than the sum of its proper divisors (518977450527900).

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

201211121120100 is a wasteful number, since it uses less digits than its factorization.

201211121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201211121120100 its reverse (1021121112102), we get a palindrome (202232242232202).

The spelling of 201211121120100 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".