2001122100 has 54 divisors (see below), whose sum is σ = 6272408870. Its totient is φ = 533632320.

The previous prime is 2001122099. The next prime is 2001122117. The reversal of 2001122100 is 12211002.

It can be written as a sum of positive squares in 3 ways, for example, as 8928144 + 1992193956 = 2988^2 + 44634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1110835 + ... + 1112634.

Almost surely, 2^2001122100 is an apocalyptic number.

2001122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001122100 is an abundant number, since it is smaller than the sum of its proper divisors (4271286770).

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

2001122100 is a wasteful number, since it uses less digits than its factorization.

2001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223489 (or 2223479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001122100 is about 44733.9032502195. The cubic root of 2001122100 is about 1260.1566320776.

Adding to 2001122100 its reverse (12211002), we get a palindrome (2013333102).

The spelling of 2001122100 in words is "two billion, one million, one hundred twenty-two thousand, one hundred".