2100220211112 has 128 divisors (see below), whose sum is σ = 5572917504000. Its totient is φ = 657711774720.

The previous prime is 2100220211101. The next prime is 2100220211153. The reversal of 2100220211112 is 2111120220012.

It is a junction number, because it is equal to n+sod(n) for n = 2100220211091 and 2100220211100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92758689 + ... + 92781327.

It is an arithmetic number, because the mean of its divisors is an integer number (43538418000).

Almost surely, 2^{2100220211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786458752000).

2100220211112 is an abundant number, since it is smaller than the sum of its proper divisors (3472697292888).

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

2100220211112 is a wasteful number, since it uses less digits than its factorization.

2100220211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24351 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2100220211112 its reverse (2111120220012), we get a palindrome (4211340431124).

The spelling of 2100220211112 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".