10100200100220 has 288 divisors, whose sum is σ = 33157187481600. Its totient is φ = 2479466575872.

The previous prime is 10100200100171. The next prime is 10100200100267. The reversal of 10100200100220 is 2200100200101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 25670941 + ... + 26061419.

It is an arithmetic number, because the mean of its divisors is an integer number (115129123200).

Almost surely, 2^{10100200100220} is an apocalyptic number.

10100200100220 is a gapful number since it is divisible by the number (10) 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 10100200100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578593740800).

10100200100220 is an abundant number, since it is smaller than the sum of its proper divisors (23056987381380).

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

10100200100220 is a wasteful number, since it uses less digits than its factorization.

10100200100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390697 (or 390692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100200100220 its reverse (2200100200101), we get a palindrome (12300300300321).

The spelling of 10100200100220 in words is "ten trillion, one hundred billion, two hundred million, one hundred thousand, two hundred twenty".