111011122101001 has 4 divisors (see below), whose sum is σ = 111015434745604. Its totient is φ = 111006809456400.

The previous prime is 111011122100999. The next prime is 111011122101037. The reversal of 111011122101001 is 100101221110111.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 99542225097225 + 11468897003776 = 9977085^2 + 3386576^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011122101001 - 2¹ = 111011122100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111011122101601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2156283690 + ... + 2156335171.

It is an arithmetic number, because the mean of its divisors is an integer number (27753858686401).

Almost surely, 2^{111011122101001} is an apocalyptic number.

It is an amenable number.

111011122101001 is a deficient number, since it is larger than the sum of its proper divisors (4312644603).

111011122101001 is an equidigital number, since it uses as much as digits as its factorization.

111011122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312644602.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111011122101001 its reverse (100101221110111), we get a palindrome (211112343211112).

The spelling of 111011122101001 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one".