2012010100 has 72 divisors (see below), whose sum is σ = 4570832448. Its totient is φ = 767289600.

The previous prime is 2012010089. The next prime is 2012010101. The reversal of 2012010100 is 10102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796840 + ... + 799360.

It is an arithmetic number, because the mean of its divisors is an integer number (63483784).

Almost surely, 2^2012010100 is an apocalyptic number.

2012010100 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 2012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285416224).

2012010100 is an abundant number, since it is smaller than the sum of its proper divisors (2558822348).

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

2012010100 is a wasteful number, since it uses less digits than its factorization.

2012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2012010100 is about 44855.4355680557. The cubic root of 2012010100 is about 1262.4379814648.

Adding to 2012010100 its reverse (10102102), we get a palindrome (2022112202).

The spelling of 2012010100 in words is "two billion, twelve million, ten thousand, one hundred".