111010112001 has 6 divisors (see below), whose sum is σ = 160347939570. Its totient is φ = 74006741328.

The previous prime is 111010111879. The next prime is 111010112009. The reversal of 111010112001 is 100211010111.

It can be written as a sum of positive squares in only one way, i.e., 109113944976 + 1896167025 = 330324^2 + 43545^2 .

It is not a de Polignac number, because 111010112001 - 2¹⁰ = 111010110977 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: 12334456889 = 111010112001 / (1 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (111010112009) 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, 6167228436 + ... + 6167228453.

It is an arithmetic number, because the mean of its divisors is an integer number (26724656595).

Almost surely, 2^111010112001 is an apocalyptic number.

It is an amenable number.

111010112001 is a deficient number, since it is larger than the sum of its proper divisors (49337827569).

111010112001 is a wasteful number, since it uses less digits than its factorization.

111010112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334456895 (or 12334456892 counting only the distinct ones).

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

Adding to 111010112001 its reverse (100211010111), we get a palindrome (211221122112).

The spelling of 111010112001 in words is "one hundred eleven billion, ten million, one hundred twelve thousand, one".