201000011011200 has 288 divisors, whose sum is σ = 717243203913600. Its totient is φ = 53597828044800.

The previous prime is 201000011011153. The next prime is 201000011011201. The reversal of 201000011011200 is 2110110000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (201000011011201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 785276841 + ... + 785532759.

Almost surely, 2^{201000011011200} is an apocalyptic number.

201000011011200 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 201000011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358621601956800).

201000011011200 is an abundant number, since it is smaller than the sum of its proper divisors (516243192902400).

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

201000011011200 is a wasteful number, since it uses less digits than its factorization.

201000011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283220 (or 283200 counting only the distinct ones).

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

Adding to 201000011011200 its reverse (2110110000102), we get a palindrome (203110121011302).

The spelling of 201000011011200 in words is "two hundred one trillion, eleven million, eleven thousand, two hundred".