111201001121201 has 8 divisors (see below), whose sum is σ = 112302967491624. Its totient is φ = 110099053699200.

The previous prime is 111201001121183. The next prime is 111201001121281. The reversal of 111201001121201 is 102121100102111.

It can be written as a sum of positive squares in 4 ways, for example, as 406851346801 + 110794149774400 = 637849^2 + 10525880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111201001121201 - 2⁶ = 111201001121137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111201001121281) 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 7 ways as a sum of consecutive naturals, for example, 7206755 + ... + 16563191.

It is an arithmetic number, because the mean of its divisors is an integer number (14037870936453).

Almost surely, 2^{111201001121201} is an apocalyptic number.

It is an amenable number.

111201001121201 is a deficient number, since it is larger than the sum of its proper divisors (1101966370423).

111201001121201 is a wasteful number, since it uses less digits than its factorization.

111201001121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474211.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111201001121201 its reverse (102121100102111), we get a palindrome (213322101223312).

The spelling of 111201001121201 in words is "one hundred eleven trillion, two hundred one billion, one million, one hundred twenty-one thousand, two hundred one".