2012101012100 has 72 divisors (see below), whose sum is σ = 4560813172608. Its totient is φ = 769050374400.

The previous prime is 2012101012093. The next prime is 2012101012121. The reversal of 2012101012100 is 12101012102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771760 + ... + 2676440.

Almost surely, 2^{2012101012100} is an apocalyptic number.

2012101012100 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 2012101012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280406586304).

2012101012100 is an abundant number, since it is smaller than the sum of its proper divisors (2548712160508).

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

2012101012100 is a wasteful number, since it uses less digits than its factorization.

2012101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905685 (or 905678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012101012100 its reverse (12101012102), we get a palindrome (2024202024202).

The spelling of 2012101012100 in words is "two trillion, twelve billion, one hundred one million, twelve thousand, one hundred".