201201210022100 has 36 divisors (see below), whose sum is σ = 444844486622844. Its totient is φ = 78961984308480.

The previous prime is 201201210022097. The next prime is 201201210022103. The reversal of 201201210022100 is 1220012102102.

It is an interprime number because it is at equal distance from previous prime (201201210022097) and next prime (201201210022103).

It can be written as a sum of positive squares in 6 ways, for example, as 389580698896 + 200811629323204 = 624164^2 + 14170802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201210022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18981240929 + ... + 18981251528.

It is an arithmetic number, because the mean of its divisors is an integer number (12356791295079).

Almost surely, 2^{201201210022100} is an apocalyptic number.

201201210022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201210022100 is an abundant number, since it is smaller than the sum of its proper divisors (243643276600744).

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

201201210022100 is a wasteful number, since it uses less digits than its factorization.

201201210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37962492524 (or 37962492517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201201210022100 its reverse (1220012102102), we get a palindrome (202421222124202).

The spelling of 201201210022100 in words is "two hundred one trillion, two hundred one billion, two hundred ten million, twenty-two thousand, one hundred".