1112211101001 has 96 divisors (see below), whose sum is σ = 2030351016960. Its totient is φ = 526901063040.

The previous prime is 1112211100969. The next prime is 1112211101003. The reversal of 1112211101001 is 1001011122111.

It is not a de Polignac number, because 1112211101001 - 2⁵ = 1112211100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1112211101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2538910 + ... + 2944568.

It is an arithmetic number, because the mean of its divisors is an integer number (21149489760).

Almost surely, 2^{1112211101001} is an apocalyptic number.

1112211101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112211101001 is a deficient number, since it is larger than the sum of its proper divisors (918139915959).

1112211101001 is a wasteful number, since it uses less digits than its factorization.

1112211101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405787 (or 405776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1112211101001 its reverse (1001011122111), we get a palindrome (2113222223112).

It can be divided in two parts, 111221110 and 1001, that added together give a palindrome (111222111).

The spelling of 1112211101001 in words is "one trillion, one hundred twelve billion, two hundred eleven million, one hundred one thousand, one".