1110110201001 has 24 divisors (see below), whose sum is σ = 1642684725864. Its totient is φ = 721986570240.

The previous prime is 1110110200961. The next prime is 1110110201069. The reversal of 1110110201001 is 1001020110111.

It can be written as a sum of positive squares in 4 ways, for example, as 30067560000 + 1080042641001 = 173400^2 + 1039251^2 .

It is not a de Polignac number, because 1110110201001 - 2⁹ = 1110110200489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1110110201801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8621245 + ... + 8749061.

It is an arithmetic number, because the mean of its divisors is an integer number (68445196911).

Almost surely, 2^{1110110201001} is an apocalyptic number.

It is an amenable number.

1110110201001 is a deficient number, since it is larger than the sum of its proper divisors (532574524863).

1110110201001 is a wasteful number, since it uses less digits than its factorization.

1110110201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151401 (or 151398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110110201001 its reverse (1001020110111), we get a palindrome (2111130311112).

The spelling of 1110110201001 in words is "one trillion, one hundred ten billion, one hundred ten million, two hundred one thousand, one".