2100112222100 has 72 divisors (see below), whose sum is σ = 4598438623800. Its totient is φ = 832477409280.

The previous prime is 2100112222097. The next prime is 2100112222147. The reversal of 2100112222100 is 12222110012.

It can be written as a sum of positive squares in 12 ways, for example, as 1473611477776 + 626500744324 = 1213924^2 + 791518^2 .

It is a super-3 number, since 3×2100112222100³ (a number of 38 digits) contains 333 as substring.

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, 6288944 + ... + 6614456.

Almost surely, 2^{2100112222100} is an apocalyptic number.

2100112222100 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 2100112222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299219311900).

2100112222100 is an abundant number, since it is smaller than the sum of its proper divisors (2498326401700).

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

2100112222100 is a wasteful number, since it uses less digits than its factorization.

2100112222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326109 (or 326102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100112222100 its reverse (12222110012), we get a palindrome (2112334332112).

The spelling of 2100112222100 in words is "two trillion, one hundred billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".