111211100000001 has 6 divisors (see below), whose sum is σ = 160638255555570. Its totient is φ = 74140733333328.

The previous prime is 111211099999963. The next prime is 111211100000051. The reversal of 111211100000001 is 100000001112111.

It can be written as a sum of positive squares in only one way, i.e., 110578158828225 + 632941171776 = 10515615^2 + 795576^2 .

It is not a de Polignac number, because 111211100000001 - 2³⁷ = 111073661046529 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: 12356788888889 = 111211100000001 / (1 + 1 + 1 + 2 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (111211100000051) 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, 6178394444436 + ... + 6178394444453.

It is an arithmetic number, because the mean of its divisors is an integer number (26773042592595).

Almost surely, 2^{111211100000001} is an apocalyptic number.

It is an amenable number.

111211100000001 is a deficient number, since it is larger than the sum of its proper divisors (49427155555569).

111211100000001 is a wasteful number, since it uses less digits than its factorization.

111211100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12356788888895 (or 12356788888892 counting only the distinct ones).

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

Adding to 111211100000001 its reverse (100000001112111), we get a palindrome (211211101112112).

The spelling of 111211100000001 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, one", and thus it is an aban number.