201222001002100 has 72 divisors (see below), whose sum is σ = 470243421354168. Its totient is φ = 74296867008000.

The previous prime is 201222001002047. The next prime is 201222001002109. The reversal of 201222001002100 is 1200100222102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 119027760016 + 201102973242084 = 345004^2 + 14181078^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222001002109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242578050 + ... + 243406150.

It is an arithmetic number, because the mean of its divisors is an integer number (6531158629919).

Almost surely, 2^{201222001002100} is an apocalyptic number.

201222001002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222001002100 is an abundant number, since it is smaller than the sum of its proper divisors (269021420352068).

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

201222001002100 is a wasteful number, since it uses less digits than its factorization.

201222001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015045 (or 1015038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201222001002100 its reverse (1200100222102), we get a palindrome (202422101224202).

The spelling of 201222001002100 in words is "two hundred one trillion, two hundred twenty-two billion, one million, two thousand, one hundred".