1001100001122 has 24 divisors (see below), whose sum is σ = 2335900003164. Its totient is φ = 308030769504.

The previous prime is 1001100001093. The next prime is 1001100001147. The reversal of 1001100001122 is 2211000011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 956384246601 + 44715754521 = 977949^2 + 211461^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2139102333 + ... + 2139102800.

Almost surely, 2^{1001100001122} is an apocalyptic number.

1001100001122 is an abundant number, since it is smaller than the sum of its proper divisors (1334800002042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001100001122 is a wasteful number, since it uses less digits than its factorization.

1001100001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278205154 (or 4278205151 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100001122 its reverse (2211000011001), we get a palindrome (3212100012123).

The spelling of 1001100001122 in words is "one trillion, one billion, one hundred million, one thousand, one hundred twenty-two".