2100132111 has 96 divisors (see below), whose sum is σ = 3961509120. Its totient is φ = 972518400.

The previous prime is 2100132101. The next prime is 2100132137. The reversal of 2100132111 is 1112310012.

It is not a de Polignac number, because 2100132111 - 2¹⁵ = 2100099343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520281 + ... + 524301.

It is an arithmetic number, because the mean of its divisors is an integer number (41265720).

Almost surely, 2^2100132111 is an apocalyptic number.

2100132111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100132111 is a deficient number, since it is larger than the sum of its proper divisors (1861377009).

2100132111 is a wasteful number, since it uses less digits than its factorization.

2100132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4078 counting only the distinct ones).

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

The square root of 2100132111 is about 45827.1983760736. The cubic root of 2100132111 is about 1280.6060181695.

Adding to 2100132111 its reverse (1112310012), we get a palindrome (3212442123).

The spelling of 2100132111 in words is "two billion, one hundred million, one hundred thirty-two thousand, one hundred eleven".