2112010000100 has 648 divisors, whose sum is σ = 6375647260584. Its totient is φ = 601413120000.

The previous prime is 2112010000027. The next prime is 2112010000129. The reversal of 2112010000100 is 10000102112.

It can be written as a sum of positive squares in 12 ways, for example, as 21811154596 + 2090198845504 = 147686^2 + 1445752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 778476344 + ... + 778479056.

Almost surely, 2^{2112010000100} is an apocalyptic number.

2112010000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187823630292).

2112010000100 is an abundant number, since it is smaller than the sum of its proper divisors (4263637260484).

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

2112010000100 is a wasteful number, since it uses less digits than its factorization.

2112010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2112010000100 its reverse (10000102112), we get a palindrome (2122010102212).

The spelling of 2112010000100 in words is "two trillion, one hundred twelve billion, ten million, one hundred", and thus it is an aban number.