1122001011101 has 8 divisors (see below), whose sum is σ = 1133591639544. Its totient is φ = 1110410864640.

The previous prime is 1122001011097. The next prime is 1122001011127. The reversal of 1122001011101 is 1011101002211.

It can be written as a sum of positive squares in 4 ways, for example, as 629055196900 + 492945814201 = 793130^2 + 702101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1122001011101 - 2² = 1122001011097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122001011701) 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 7 ways as a sum of consecutive naturals, for example, 6336101 + ... + 6510773.

It is an arithmetic number, because the mean of its divisors is an integer number (141698954943).

Almost surely, 2^{1122001011101} is an apocalyptic number.

It is an amenable number.

1122001011101 is a deficient number, since it is larger than the sum of its proper divisors (11590628443).

1122001011101 is an equidigital number, since it uses as much as digits as its factorization.

1122001011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240991.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1122001011101 its reverse (1011101002211), we get a palindrome (2133102013312).

The spelling of 1122001011101 in words is "one trillion, one hundred twenty-two billion, one million, eleven thousand, one hundred one".