201201121222100 has 216 divisors, whose sum is σ = 475957599264000. Its totient is φ = 73738892505600.

The previous prime is 201201121222097. The next prime is 201201121222139. The reversal of 201201121222100 is 1222121102102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1811767376 + ... + 1811878424.

It is an arithmetic number, because the mean of its divisors is an integer number (2203507404000).

Almost surely, 2^{201201121222100} is an apocalyptic number.

201201121222100 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 201201121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237978799632000).

201201121222100 is an abundant number, since it is smaller than the sum of its proper divisors (274756478041900).

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

201201121222100 is a wasteful number, since it uses less digits than its factorization.

201201121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112751 (or 112725 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201201121222100 its reverse (1222121102102), we get a palindrome (202423242324202).

The spelling of 201201121222100 in words is "two hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".