201101212111200 has 72 divisors (see below), whose sum is σ = 654584445429768. Its totient is φ = 53626989895680.

The previous prime is 201101212111159. The next prime is 201101212111201. The reversal of 201101212111200 is 2111212101102.

It is a happy number.

201101212111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201101212111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201101212111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101212111201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41896083457 + ... + 41896088256.

It is an arithmetic number, because the mean of its divisors is an integer number (9091450630969).

Almost surely, 2^{201101212111200} is an apocalyptic number.

201101212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101212111200 is an abundant number, since it is smaller than the sum of its proper divisors (453483233318568).

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

201101212111200 is a wasteful number, since it uses less digits than its factorization.

201101212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83792171736 (or 83792171723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201101212111200 its reverse (2111212101102), we get a palindrome (203212424212302).

The spelling of 201101212111200 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, one hundred eleven thousand, two hundred".