20020002221100 has 864 divisors, whose sum is σ = 70301295429120. Its totient is φ = 4382332416000.

The previous prime is 20020002221069. The next prime is 20020002221123. The reversal of 20020002221100 is 112220002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14496742410 + ... + 14496743790.

It is an arithmetic number, because the mean of its divisors is an integer number (81367240080).

Almost surely, 2^{20020002221100} is an apocalyptic number.

20020002221100 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 20020002221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35150647714560).

20020002221100 is an abundant number, since it is smaller than the sum of its proper divisors (50281293208020).

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

20020002221100 is a wasteful number, since it uses less digits than its factorization.

20020002221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020002221100 its reverse (112220002002), we get a palindrome (20132222223102).

The spelling of 20020002221100 in words is "twenty trillion, twenty billion, two million, two hundred twenty-one thousand, one hundred".