201211111103100 has 144 divisors (see below), whose sum is σ = 665342512520448. Its totient is φ = 45990804303360.

The previous prime is 201211111103087. The next prime is 201211111103117. The reversal of 201211111103100 is 1301111112102.

It is a super-2 number, since 2×201211111103100² (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 201211111103100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503953747 + ... + 504352853.

Almost surely, 2^{201211111103100} is an apocalyptic number.

201211111103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211111103100 is an abundant number, since it is smaller than the sum of its proper divisors (464131401417348).

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

201211111103100 is a wasteful number, since it uses less digits than its factorization.

201211111103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639204 (or 639197 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 201211111103100 its reverse (1301111112102), we get a palindrome (202512222215202).

The spelling of 201211111103100 in words is "two hundred one trillion, two hundred eleven billion, one hundred eleven million, one hundred three thousand, one hundred".