220001020100 has 288 divisors, whose sum is σ = 515559002112. Its totient is φ = 81357120000.

The previous prime is 220001020087. The next prime is 220001020123. The reversal of 220001020100 is 1020100022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1679397035 + ... + 1679397165.

It is an arithmetic number, because the mean of its divisors is an integer number (1790135424).

Almost surely, 2^220001020100 is an apocalyptic number.

220001020100 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 220001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257779501056).

220001020100 is an abundant number, since it is smaller than the sum of its proper divisors (295557982012).

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

220001020100 is a wasteful number, since it uses less digits than its factorization.

220001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220001020100 its reverse (1020100022), we get a palindrome (221021120122).

The spelling of 220001020100 in words is "two hundred twenty billion, one million, twenty thousand, one hundred".