220210013100 has 576 divisors, whose sum is σ = 814797849600. Its totient is φ = 45519667200.

The previous prime is 220210013063. The next prime is 220210013119. The reversal of 220210013100 is 1310012022.

It is a super-2 number, since 2×220210013100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 290897922 + ... + 290898678.

It is an arithmetic number, because the mean of its divisors is an integer number (1414579600).

Almost surely, 2^220210013100 is an apocalyptic number.

220210013100 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 220210013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407398924800).

220210013100 is an abundant number, since it is smaller than the sum of its proper divisors (594587836500).

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

220210013100 is a wasteful number, since it uses less digits than its factorization.

220210013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220210013100 its reverse (1310012022), we get a palindrome (221520025122).

The spelling of 220210013100 in words is "two hundred twenty billion, two hundred ten million, thirteen thousand, one hundred".