221302031122120 has 32 divisors (see below), whose sum is σ = 536231844643320. Its totient is φ = 81711519183360.

The previous prime is 221302031122103. The next prime is 221302031122153. The reversal of 221302031122120 is 21221130203122.

It can be written as a sum of positive squares in 4 ways, for example, as 134561531204356 + 86740499917764 = 11600066^2 + 9313458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221302031122091 and 221302031122100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212790414021 + ... + 212790415060.

Almost surely, 2^{221302031122120} is an apocalyptic number.

221302031122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221302031122120 is an abundant number, since it is smaller than the sum of its proper divisors (314929813521200).

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

221302031122120 is a wasteful number, since it uses less digits than its factorization.

221302031122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425580829105 (or 425580829101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221302031122120 its reverse (21221130203122), we get a palindrome (242523161325242).

The spelling of 221302031122120 in words is "two hundred twenty-one trillion, three hundred two billion, thirty-one million, one hundred twenty-two thousand, one hundred twenty".