221240410010120 has 16 divisors (see below), whose sum is σ = 497790922522860. Its totient is φ = 88496164004032.

The previous prime is 221240410010101. The next prime is 221240410010129. The reversal of 221240410010120 is 21010014042122.

It can be written as a sum of positive squares in 2 ways, for example, as 218716118214916 + 2524291795204 = 14789054^2 + 1588802^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221240410010092 and 221240410010101.

It is not an unprimeable number, because it can be changed into a prime (221240410010129) 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 3 ways as a sum of consecutive naturals, for example, 2765505125087 + ... + 2765505125166.

Almost surely, 2^{221240410010120} is an apocalyptic number.

221240410010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221240410010120 is an abundant number, since it is smaller than the sum of its proper divisors (276550512512740).

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

221240410010120 is a wasteful number, since it uses less digits than its factorization.

221240410010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531010250264 (or 5531010250260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221240410010120 its reverse (21010014042122), we get a palindrome (242250424052242).

The spelling of 221240410010120 in words is "two hundred twenty-one trillion, two hundred forty billion, four hundred ten million, ten thousand, one hundred twenty".