221100010010120 has 16 divisors (see below), whose sum is σ = 497475022522860. Its totient is φ = 88440004004032.

The previous prime is 221100010010023. The next prime is 221100010010123. The reversal of 221100010010120 is 21010010001122.

It can be written as a sum of positive squares in 2 ways, for example, as 177023078220004 + 44076931790116 = 13305002^2 + 6639046^2 .

It is not an unprimeable number, because it can be changed into a prime (221100010010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2763750125087 + ... + 2763750125166.

Almost surely, 2^{221100010010120} is an apocalyptic number.

221100010010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100010010120 is an abundant number, since it is smaller than the sum of its proper divisors (276375012512740).

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

221100010010120 is a wasteful number, since it uses less digits than its factorization.

221100010010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527500250264 (or 5527500250260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221100010010120 its reverse (21010010001122), we get a palindrome (242110020011242).

The spelling of 221100010010120 in words is "two hundred twenty-one trillion, one hundred billion, ten million, ten thousand, one hundred twenty".