2112110100 has 72 divisors (see below), whose sum is σ = 6790051520. Its totient is φ = 563228640.

The previous prime is 2112110083. The next prime is 2112110123. The reversal of 2112110100 is 10112112.

It is a happy number.

It is a super-2 number, since 2×2112110100² = 8922018149044020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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, 388432 + ... + 393831.

Almost surely, 2^2112110100 is an apocalyptic number.

2112110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110100 is an abundant number, since it is smaller than the sum of its proper divisors (4677941420).

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

2112110100 is a wasteful number, since it uses less digits than its factorization.

2112110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782286 (or 782273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2112110100 is about 45957.6990285632. The cubic root of 2112110100 is about 1283.0360264045.

Adding to 2112110100 its reverse (10112112), we get a palindrome (2122222212).

The spelling of 2112110100 in words is "two billion, one hundred twelve million, one hundred ten thousand, one hundred".