1100100313121 has 4 divisors (see below), whose sum is σ = 1118746081200. Its totient is φ = 1081454545044.

The previous prime is 1100100313111. The next prime is 1100100313129. The reversal of 1100100313121 is 1213130010011.

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 1100100313121 - 2³⁴ = 1082920443937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100100313096 and 1100100313105.

It is not an unprimeable number, because it can be changed into a prime (1100100313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9322883951 + ... + 9322884068.

It is an arithmetic number, because the mean of its divisors is an integer number (279686520300).

Almost surely, 2^{1100100313121} is an apocalyptic number.

It is an amenable number.

1100100313121 is a deficient number, since it is larger than the sum of its proper divisors (18645768079).

1100100313121 is an equidigital number, since it uses as much as digits as its factorization.

1100100313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18645768078.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1100100313121 its reverse (1213130010011), we get a palindrome (2313230323132).

The spelling of 1100100313121 in words is "one trillion, one hundred billion, one hundred million, three hundred thirteen thousand, one hundred twenty-one".