221000002022120 has 32 divisors (see below), whose sum is σ = 497515487902920. Its totient is φ = 88352803768320.

The previous prime is 221000002022117. The next prime is 221000002022123. The reversal of 221000002022120 is 21220200000122.

It is an interprime number because it is at equal distance from previous prime (221000002022117) and next prime (221000002022123).

It can be written as a sum of positive squares in 4 ways, for example, as 76911812523844 + 144088189498276 = 8769938^2 + 12003674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221000002022095 and 221000002022104.

It is not an unprimeable number, because it can be changed into a prime (221000002022123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474831661 + ... + 1474981500.

Almost surely, 2^{221000002022120} is an apocalyptic number.

221000002022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000002022120 is an abundant number, since it is smaller than the sum of its proper divisors (276515485880800).

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

221000002022120 is a wasteful number, since it uses less digits than its factorization.

221000002022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949815045 (or 2949815041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221000002022120 its reverse (21220200000122), we get a palindrome (242220202022242).

The spelling of 221000002022120 in words is "two hundred twenty-one trillion, two million, twenty-two thousand, one hundred twenty".