1122000011101 has 8 divisors (see below), whose sum is σ = 1199762389944. Its totient is φ = 1045544563200.

The previous prime is 1122000011029. The next prime is 1122000011107. The reversal of 1122000011101 is 1011100002211.

It can be written as a sum of positive squares in 4 ways, for example, as 570136745476 + 551863265625 = 755074^2 + 742875^2 .

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 1122000011101 - 2²⁵ = 1121966456669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122000011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326730960 + ... + 326734393.

It is an arithmetic number, because the mean of its divisors is an integer number (149970298743).

Almost surely, 2^{1122000011101} is an apocalyptic number.

It is an amenable number.

1122000011101 is a deficient number, since it is larger than the sum of its proper divisors (77762378843).

1122000011101 is a wasteful number, since it uses less digits than its factorization.

1122000011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653465471.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1122000011101 its reverse (1011100002211), we get a palindrome (2133100013312).

The spelling of 1122000011101 in words is "one trillion, one hundred twenty-two billion, eleven thousand, one hundred one".