110011211011001 has 16 divisors (see below), whose sum is σ = 112893086048400. Its totient is φ = 107138962283520.

The previous prime is 110011211010989. The next prime is 110011211011007. The reversal of 110011211011001 is 100110112110011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4826721120400 + 105184489890601 = 2196980^2 + 10255949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011211011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110011211011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52168235 + ... + 54236031.

It is an arithmetic number, because the mean of its divisors is an integer number (7055817878025).

Almost surely, 2^{110011211011001} is an apocalyptic number.

It is an amenable number.

110011211011001 is a deficient number, since it is larger than the sum of its proper divisors (2881875037399).

110011211011001 is a wasteful number, since it uses less digits than its factorization.

110011211011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070124.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110011211011001 its reverse (100110112110011), we get a palindrome (210121323121012).

The spelling of 110011211011001 in words is "one hundred ten trillion, eleven billion, two hundred eleven million, eleven thousand, one".