111200002122001 has 16 divisors (see below), whose sum is σ = 120621138739024. Its totient is φ = 101903898230784.

The previous prime is 111200002121963. The next prime is 111200002122017. The reversal of 111200002122001 is 100221200002111.

It can be written as a sum of positive squares in 8 ways, for example, as 223237350400 + 110976764771601 = 472480^2 + 10534551^2 .

It is not a de Polignac number, because 111200002122001 - 2⁹ = 111200002121489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111200002126001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21273396 + ... + 25979941.

It is an arithmetic number, because the mean of its divisors is an integer number (7538821171189).

Almost surely, 2^{111200002122001} is an apocalyptic number.

It is an amenable number.

111200002122001 is a deficient number, since it is larger than the sum of its proper divisors (9421136617023).

111200002122001 is a wasteful number, since it uses less digits than its factorization.

111200002122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47254660.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111200002122001 its reverse (100221200002111), we get a palindrome (211421202124112).

The spelling of 111200002122001 in words is "one hundred eleven trillion, two hundred billion, two million, one hundred twenty-two thousand, one".