20220200100100 has 1152 divisors, whose sum is σ = 67006711296000. Its totient is φ = 5186803507200.

The previous prime is 20220200100059. The next prime is 20220200100103. The reversal of 20220200100100 is 100100202202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20220200100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1584276319 + ... + 1584289081.

It is an arithmetic number, because the mean of its divisors is an integer number (58165548000).

Almost surely, 2^{20220200100100} is an apocalyptic number.

20220200100100 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 20220200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503355648000).

20220200100100 is an abundant number, since it is smaller than the sum of its proper divisors (46786511195900).

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

20220200100100 is a wasteful number, since it uses less digits than its factorization.

20220200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20220200100100 its reverse (100100202202), we get a palindrome (20320300302302).

The spelling of 20220200100100 in words is "twenty trillion, two hundred twenty billion, two hundred million, one hundred thousand, one hundred".