20202022100 has 72 divisors (see below), whose sum is σ = 47511755928. Its totient is φ = 7411622400.

The previous prime is 20202022091. The next prime is 20202022103. The reversal of 20202022100 is 122020202.

It can be written as a sum of positive squares in 12 ways, for example, as 15984039184 + 4217982916 = 126428^2 + 64946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154610 + ... + 253590.

It is an arithmetic number, because the mean of its divisors is an integer number (659885499).

Almost surely, 2^20202022100 is an apocalyptic number.

20202022100 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 20202022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23755877964).

20202022100 is an abundant number, since it is smaller than the sum of its proper divisors (27309733828).

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

20202022100 is a wasteful number, since it uses less digits than its factorization.

20202022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99165 (or 99158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20202022100 its reverse (122020202), we get a palindrome (20324042302).

The spelling of 20202022100 in words is "twenty billion, two hundred two million, twenty-two thousand, one hundred".