20201100100 has 72 divisors (see below), whose sum is σ = 45773195328. Its totient is φ = 7723900800.

The previous prime is 20201100091. The next prime is 20201100107. The reversal of 20201100100 is 100110202.

It is not an unprimeable number, because it can be changed into a prime (20201100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6707595 + ... + 6710605.

It is an arithmetic number, because the mean of its divisors is an integer number (635738824).

Almost surely, 2^20201100100 is an apocalyptic number.

20201100100 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 20201100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886597664).

20201100100 is an abundant number, since it is smaller than the sum of its proper divisors (25572095228).

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

20201100100 is a wasteful number, since it uses less digits than its factorization.

20201100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20201100100 its reverse (100110202), we get a palindrome (20301210302).

The spelling of 20201100100 in words is "twenty billion, two hundred one million, one hundred thousand, one hundred".