20002001100 has 144 divisors (see below), whose sum is σ = 64502121600. Its totient is φ = 4755870720.

The previous prime is 20002001093. The next prime is 20002001113. The reversal of 20002001100 is 110020002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 6310 + ... + 200109.

It is an arithmetic number, because the mean of its divisors is an integer number (447931400).

Almost surely, 2^20002001100 is an apocalyptic number.

20002001100 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 20002001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251060800).

20002001100 is an abundant number, since it is smaller than the sum of its proper divisors (44500120500).

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

20002001100 is a wasteful number, since it uses less digits than its factorization.

20002001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206472 (or 206465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20002001100 its reverse (110020002), we get a palindrome (20112021102).

The spelling of 20002001100 in words is "twenty billion, two million, one thousand, one hundred".