2112012012100 has 144 divisors (see below), whose sum is σ = 4737737765376. Its totient is φ = 816689536000.

The previous prime is 2112012012041. The next prime is 2112012012113. The reversal of 2112012012100 is 12102102112.

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, 415175757 + ... + 415180843.

It is an arithmetic number, because the mean of its divisors is an integer number (32900956704).

Almost surely, 2^{2112012012100} is an apocalyptic number.

2112012012100 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 2112012012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368868882688).

2112012012100 is an abundant number, since it is smaller than the sum of its proper divisors (2625725753276).

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

2112012012100 is a wasteful number, since it uses less digits than its factorization.

2112012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112012012100 its reverse (12102102112), we get a palindrome (2124114114212).

The spelling of 2112012012100 in words is "two trillion, one hundred twelve billion, twelve million, twelve thousand, one hundred".