2111200011100 has 36 divisors (see below), whose sum is σ = 4582411785000. Its totient is φ = 844275808960.

The previous prime is 2111200011091. The next prime is 2111200011101. The reversal of 2111200011100 is 11100021112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111200011101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2136475 + ... + 2964274.

It is an arithmetic number, because the mean of its divisors is an integer number (127289216250).

Almost surely, 2^{2111200011100} is an apocalyptic number.

2111200011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111200011100 is an abundant number, since it is smaller than the sum of its proper divisors (2471211773900).

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

2111200011100 is a wasteful number, since it uses less digits than its factorization.

2111200011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104902 (or 5104895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2111200011100 its reverse (11100021112), we get a palindrome (2122300032212).

The spelling of 2111200011100 in words is "two trillion, one hundred eleven billion, two hundred million, eleven thousand, one hundred".