2012002110100 has 144 divisors (see below), whose sum is σ = 4904506091520. Its totient is φ = 711941529600.

The previous prime is 2012002110073. The next prime is 2012002110257. The reversal of 2012002110100 is 10112002102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3856860 + ... + 4347340.

It is an arithmetic number, because the mean of its divisors is an integer number (34059070080).

Almost surely, 2^{2012002110100} is an apocalyptic number.

2012002110100 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 2012002110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452253045760).

2012002110100 is an abundant number, since it is smaller than the sum of its proper divisors (2892503981420).

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

2012002110100 is a wasteful number, since it uses less digits than its factorization.

2012002110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490658 (or 490651 counting only the distinct ones).

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

Adding to 2012002110100 its reverse (10112002102), we get a palindrome (2022114112202).

The spelling of 2012002110100 in words is "two trillion, twelve billion, two million, one hundred ten thousand, one hundred".