111001001000121 has 6 divisors (see below), whose sum is σ = 160334779222410. Its totient is φ = 74000667333408.

The previous prime is 111001001000083. The next prime is 111001001000213. The reversal of 111001001000121 is 121000100100111.

It can be written as a sum of positive squares in only one way, i.e., 104512080303225 + 6488920696896 = 10223115^2 + 2547336^2 .

It is not a de Polignac number, because 111001001000121 - 2²³ = 111000992611513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12333444555569 = 111001001000121 / (1 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (111001001002121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6166722277776 + ... + 6166722277793.

It is an arithmetic number, because the mean of its divisors is an integer number (26722463203735).

Almost surely, 2^{111001001000121} is an apocalyptic number.

It is an amenable number.

111001001000121 is a deficient number, since it is larger than the sum of its proper divisors (49333778222289).

111001001000121 is a wasteful number, since it uses less digits than its factorization.

111001001000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12333444555575 (or 12333444555572 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111001001000121 its reverse (121000100100111), we get a palindrome (232001101100232).

The spelling of 111001001000121 in words is "one hundred eleven trillion, one billion, one million, one hundred twenty-one", and thus it is an aban number.