2111121112200 has 48 divisors (see below), whose sum is σ = 6544475449680. Its totient is φ = 562965629760.

The previous prime is 2111121112193. The next prime is 2111121112201. The reversal of 2111121112200 is 22111211112.

It is a happy number.

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 2111121112200.

It is not an unprimeable number, because it can be changed into a prime (2111121112201) 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, 1759266994 + ... + 1759268193.

It is an arithmetic number, because the mean of its divisors is an integer number (136343238535).

Almost surely, 2^{2111121112200} is an apocalyptic number.

2111121112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111121112200 is an abundant number, since it is smaller than the sum of its proper divisors (4433354337480).

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

2111121112200 is a wasteful number, since it uses less digits than its factorization.

2111121112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518535206 (or 3518535197 counting only the distinct ones).

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

Adding to 2111121112200 its reverse (22111211112), we get a palindrome (2133232323312).

The spelling of 2111121112200 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred".