2012121110100 has 72 divisors (see below), whose sum is σ = 6164192216448. Its totient is φ = 505002944000.

The previous prime is 2012121110071. The next prime is 2012121110113. The reversal of 2012121110100 is 10111212102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197261676 + ... + 197271875.

It is an arithmetic number, because the mean of its divisors is an integer number (85613780784).

Almost surely, 2^{2012121110100} is an apocalyptic number.

2012121110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012121110100 is an abundant number, since it is smaller than the sum of its proper divisors (4152071106348).

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

2012121110100 is a wasteful number, since it uses less digits than its factorization.

2012121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394533585 (or 394533578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2012121110100 its reverse (10111212102), we get a palindrome (2022232322202).

The spelling of 2012121110100 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred".