220221201010100 has 72 divisors (see below), whose sum is σ = 488923879368960. Its totient is φ = 86059473166720.

The previous prime is 220221201010099. The next prime is 220221201010103. The reversal of 220221201010100 is 1010102122022.

220221201010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×220221201010100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221201010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39442760 + ... + 44678559.

It is an arithmetic number, because the mean of its divisors is an integer number (6790609435680).

Almost surely, 2^{220221201010100} is an apocalyptic number.

220221201010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221201010100 is an abundant number, since it is smaller than the sum of its proper divisors (268702678358860).

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

220221201010100 is a wasteful number, since it uses less digits than its factorization.

220221201010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84121937 (or 84121930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220221201010100 its reverse (1010102122022), we get a palindrome (221231303132122).

The spelling of 220221201010100 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred one million, ten thousand, one hundred".