221010212120 has 32 divisors (see below), whose sum is σ = 503264225520. Its totient is φ = 87338974080.

The previous prime is 221010212089. The next prime is 221010212123. The reversal of 221010212120 is 21212010122.

221010212120 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-2 number, since 2×221010212120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221010212095 and 221010212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010212123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33281351 + ... + 33287990.

Almost surely, 2^221010212120 is an apocalyptic number.

221010212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010212120 is an abundant number, since it is smaller than the sum of its proper divisors (282254013400).

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

221010212120 is a wasteful number, since it uses less digits than its factorization.

221010212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66569435 (or 66569431 counting only the distinct ones).

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

Adding to 221010212120 its reverse (21212010122), we get a palindrome (242222222242).

It can be divided in two parts, 2210102 and 12120, that added together give a palindrome (2222222).

The spelling of 221010212120 in words is "two hundred twenty-one billion, ten million, two hundred twelve thousand, one hundred twenty".