201211100211120 has 80 divisors (see below), whose sum is σ = 635523361839072. Its totient is φ = 52643910492160.

The previous prime is 201211100211083. The next prime is 201211100211127. The reversal of 201211100211120 is 21112001112102.

It is a happy number.

201211100211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 201211100211120.

It is not an unprimeable number, because it can be changed into a prime (201211100211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7909228641 + ... + 7909254080.

Almost surely, 2^{201211100211120} is an apocalyptic number.

201211100211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211100211120 is an abundant number, since it is smaller than the sum of its proper divisors (434312261627952).

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

201211100211120 is a wasteful number, since it uses less digits than its factorization.

201211100211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15818482790 (or 15818482784 counting only the distinct ones).

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

Adding to 201211100211120 its reverse (21112001112102), we get a palindrome (222323101323222).

The spelling of 201211100211120 in words is "two hundred one trillion, two hundred eleven billion, one hundred million, two hundred eleven thousand, one hundred twenty".