2012112100 has 18 divisors (see below), whose sum is σ = 4366283474. Its totient is φ = 804844800.

The previous prime is 2012112079. The next prime is 2012112119. The reversal of 2012112100 is 12112102.

It can be written as a sum of positive squares in 3 ways, for example, as 5788836 + 2006323264 = 2406^2 + 44792^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10060461 + ... + 10060660.

Almost surely, 2^2012112100 is an apocalyptic number.

2012112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012112100 is an abundant number, since it is smaller than the sum of its proper divisors (2354171374).

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

2012112100 is a wasteful number, since it uses less digits than its factorization.

2012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121135 (or 20121128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012112100 is about 44856.5725395956. The cubic root of 2012112100 is about 1262.4593144422.

Adding to 2012112100 its reverse (12112102), we get a palindrome (2024224202).

The spelling of 2012112100 in words is "two billion, twelve million, one hundred twelve thousand, one hundred".