100001001001121 has 16 divisors (see below), whose sum is σ = 113908502629440. Its totient is φ = 86954844540480.

The previous prime is 100001001001087. The next prime is 100001001001157. The reversal of 100001001001121 is 121100100100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001001001121 - 2¹⁰ = 100001001000097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001001001099 and 100001001001108.

It is not an unprimeable number, because it can be changed into a prime (100001001001021) 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, 1464838586 + ... + 1464906851.

It is an arithmetic number, because the mean of its divisors is an integer number (7119281414340).

Almost surely, 2^{100001001001121} is an apocalyptic number.

100001001001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001001001121 is a deficient number, since it is larger than the sum of its proper divisors (13907501628319).

100001001001121 is a wasteful number, since it uses less digits than its factorization.

100001001001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929745584.

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

Adding to 100001001001121 its reverse (121100100100001), we get a palindrome (221101101101122).

The spelling of 100001001001121 in words is "one hundred trillion, one billion, one million, one thousand, one hundred twenty-one".