201010011100200 has 72 divisors (see below), whose sum is σ = 675058620617550. Its totient is φ = 53602669626240.

The previous prime is 201010011100111. The next prime is 201010011100201. The reversal of 201010011100200 is 2001110010102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 79191595869156 + 121818415231044 = 8898966^2 + 11037138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (201010011100201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55836112395 + ... + 55836115994.

Almost surely, 2^{201010011100200} is an apocalyptic number.

201010011100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010011100200 is an abundant number, since it is smaller than the sum of its proper divisors (474048609517350).

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

201010011100200 is a wasteful number, since it uses less digits than its factorization.

201010011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111672228411 (or 111672228399 counting only the distinct ones).

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

Adding to 201010011100200 its reverse (2001110010102), we get a palindrome (203011121110302).

The spelling of 201010011100200 in words is "two hundred one trillion, ten billion, eleven million, one hundred thousand, two hundred".