221201001101120 has 56 divisors (see below), whose sum is σ = 539582076193608. Its totient is φ = 86322341888000.

The previous prime is 221201001100999. The next prime is 221201001101149. The reversal of 221201001101120 is 21101100102122.

It can be written as a sum of positive squares in 4 ways, for example, as 3988584156736 + 217212416944384 = 1997144^2 + 14738128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221201001101095 and 221201001101104.

It is a congruent number.

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, 8429903081 + ... + 8429929320.

It is an arithmetic number, because the mean of its divisors is an integer number (9635394217743).

Almost surely, 2^{221201001101120} is an apocalyptic number.

221201001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201001101120 is an abundant number, since it is smaller than the sum of its proper divisors (318381075092488).

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

221201001101120 is a wasteful number, since it uses less digits than its factorization.

221201001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859832459 (or 16859832449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221201001101120 its reverse (21101100102122), we get a palindrome (242302101203242).

The spelling of 221201001101120 in words is "two hundred twenty-one trillion, two hundred one billion, one million, one hundred one thousand, one hundred twenty".