2012000012100 has 216 divisors, whose sum is σ = 6857559963072. Its totient is φ = 490452883200.

The previous prime is 2012000012047. The next prime is 2012000012123. The reversal of 2012000012100 is 12100002102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370315 + ... + 2039885.

It is an arithmetic number, because the mean of its divisors is an integer number (31747962792).

Almost surely, 2^{2012000012100} is an apocalyptic number.

2012000012100 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 2012000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428779981536).

2012000012100 is an abundant number, since it is smaller than the sum of its proper divisors (4845559950972).

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

2012000012100 is a wasteful number, since it uses less digits than its factorization.

2012000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669707 (or 1669697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2012000012100 its reverse (12100002102), we get a palindrome (2024100014202).

The spelling of 2012000012100 in words is "two trillion, twelve billion, twelve thousand, one hundred".