201001011001200 has 180 divisors, whose sum is σ = 697690154095480. Its totient is φ = 53587912296960.

The previous prime is 201001011001187. The next prime is 201001011001243. The reversal of 201001011001200 is 2100110100102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9186474 + ... + 22054326.

Almost surely, 2^{201001011001200} is an apocalyptic number.

201001011001200 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 201001011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348845077047740).

201001011001200 is an abundant number, since it is smaller than the sum of its proper divisors (496689143094280).

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

201001011001200 is a wasteful number, since it uses less digits than its factorization.

201001011001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872216 (or 12872202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001011001200 its reverse (2100110100102), we get a palindrome (203101121101302).

The spelling of 201001011001200 in words is "two hundred one trillion, one billion, eleven million, one thousand, two hundred".