2112102000100 has 18 divisors (see below), whose sum is σ = 4583261340434. Its totient is φ = 844840800000.

The previous prime is 2112101999947. The next prime is 2112102000101. The reversal of 2112102000100 is 10002012112.

It can be written as a sum of positive squares in 3 ways, for example, as 50741166564 + 2061360833536 = 225258^2 + 1435744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2112102000101) 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 5 ways as a sum of consecutive naturals, for example, 10560509901 + ... + 10560510100.

Almost surely, 2^{2112102000100} is an apocalyptic number.

2112102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102000100 is an abundant number, since it is smaller than the sum of its proper divisors (2471159340334).

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

2112102000100 is a wasteful number, since it uses less digits than its factorization.

2112102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121020015 (or 21121020008 counting only the distinct ones).

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

Adding to 2112102000100 its reverse (10002012112), we get a palindrome (2122104012212).

The spelling of 2112102000100 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred", and thus it is an aban number.