2000011022100 has 720 divisors, whose sum is σ = 8114799369600. Its totient is φ = 414819118080.

The previous prime is 2000011022021. The next prime is 2000011022129. The reversal of 2000011022100 is 12201100002.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43465906 + ... + 43511894.

It is an arithmetic number, because the mean of its divisors is an integer number (11270554680).

Almost surely, 2^{2000011022100} is an apocalyptic number.

2000011022100 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 2000011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057399684800).

2000011022100 is an abundant number, since it is smaller than the sum of its proper divisors (6114788347500).

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

2000011022100 is a wasteful number, since it uses less digits than its factorization.

2000011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46094 (or 46078 counting only the distinct ones).

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

Adding to 2000011022100 its reverse (12201100002), we get a palindrome (2012212122102).

The spelling of 2000011022100 in words is "two trillion, eleven million, twenty-two thousand, one hundred".