201000012101200 has 240 divisors, whose sum is σ = 550683420724080. Its totient is φ = 69844268482560.

The previous prime is 201000012101197. The next prime is 201000012101269. The reversal of 201000012101200 is 2101210000102.

It can be written as a sum of positive squares in 24 ways, for example, as 97407188162064 + 103592823939136 = 9869508^2 + 10178056^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1213560792 + ... + 1213726408.

It is an arithmetic number, because the mean of its divisors is an integer number (2294514253017).

Almost surely, 2^{201000012101200} is an apocalyptic number.

201000012101200 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 201000012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275341710362040).

201000012101200 is an abundant number, since it is smaller than the sum of its proper divisors (349683408622880).

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

201000012101200 is a wasteful number, since it uses less digits than its factorization.

201000012101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179394 (or 179383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201000012101200 its reverse (2101210000102), we get a palindrome (203101222101302).

The spelling of 201000012101200 in words is "two hundred one trillion, twelve million, one hundred one thousand, two hundred".