220200102100100 has 144 divisors (see below), whose sum is σ = 503322818611200. Its totient is φ = 83387961544320.

The previous prime is 220200102100063. The next prime is 220200102100123. The reversal of 220200102100100 is 1001201002022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28825772081 + ... + 28825779719.

Almost surely, 2^{220200102100100} is an apocalyptic number.

220200102100100 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 220200102100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251661409305600).

220200102100100 is an abundant number, since it is smaller than the sum of its proper divisors (283122716511100).

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

220200102100100 is a wasteful number, since it uses less digits than its factorization.

220200102100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15922 (or 15915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220200102100100 its reverse (1001201002022), we get a palindrome (221201303102122).

The spelling of 220200102100100 in words is "two hundred twenty trillion, two hundred billion, one hundred two million, one hundred thousand, one hundred".