10001001112121 has 8 divisors (see below), whose sum is σ = 10003965797280. Its totient is φ = 9998036721792.

The previous prime is 10001001112111. The next prime is 10001001112169. The reversal of 10001001112121 is 12121110010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001001112121 - 2³⁴ = 9983821242937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001001112111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80465801 + ... + 80589993.

It is an arithmetic number, because the mean of its divisors is an integer number (1250495724660).

Almost surely, 2^{10001001112121} is an apocalyptic number.

It is an amenable number.

10001001112121 is a deficient number, since it is larger than the sum of its proper divisors (2964685159).

10001001112121 is a wasteful number, since it uses less digits than its factorization.

10001001112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147415.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001001112121 its reverse (12121110010001), we get a palindrome (22122111122122).

The spelling of 10001001112121 in words is "ten trillion, one billion, one million, one hundred twelve thousand, one hundred twenty-one".