2111000100 has 72 divisors (see below), whose sum is σ = 6663094368. Its totient is φ = 511756800.

The previous prime is 2111000093. The next prime is 2111000107. The reversal of 2111000100 is 10001112.

It is an interprime number because it is at equal distance from previous prime (2111000093) and next prime (2111000107).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2111000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316549 + ... + 323148.

Almost surely, 2^2111000100 is an apocalyptic number.

2111000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111000100 is an abundant number, since it is smaller than the sum of its proper divisors (4552094268).

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

2111000100 is a wasteful number, since it uses less digits than its factorization.

2111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639725 (or 639718 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2111000100 is about 45945.6211188836. The cubic root of 2111000100 is about 1282.8112244322.

Adding to 2111000100 its reverse (10001112), we get a palindrome (2121001212).

The spelling of 2111000100 in words is "two billion, one hundred eleven million, one hundred", and thus it is an aban number.