1001100001121 has 4 divisors (see below), whose sum is σ = 1092109092144. Its totient is φ = 910090910100.

The previous prime is 1001100001093. The next prime is 1001100001147. The reversal of 1001100001121 is 1211000011001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001100001121 - 2²² = 1001095806817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100001099 and 1001100001108.

It is not an unprimeable number, because it can be changed into a prime (1001100001021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45504545495 + ... + 45504545516.

It is an arithmetic number, because the mean of its divisors is an integer number (273027273036).

Almost surely, 2^{1001100001121} is an apocalyptic number.

1001100001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001100001121 is a deficient number, since it is larger than the sum of its proper divisors (91009091023).

1001100001121 is an equidigital number, since it uses as much as digits as its factorization.

1001100001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91009091022.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001100001121 its reverse (1211000011001), we get a palindrome (2212100012122).

The spelling of 1001100001121 in words is "one trillion, one billion, one hundred million, one thousand, one hundred twenty-one".