10001001012121 has 16 divisors (see below), whose sum is σ = 11558431555200. Its totient is φ = 8475754370688.

The previous prime is 10001001012071. The next prime is 10001001012139. The reversal of 10001001012121 is 12121010010001.

It is a cyclic number.

It is not a de Polignac number, because 10001001012121 - 2¹¹ = 10001001010073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001001012098 and 10001001012107.

It is not an unprimeable number, because it can be changed into a prime (10001001012521) 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, 27473526 + ... + 27835168.

It is an arithmetic number, because the mean of its divisors is an integer number (722401972200).

Almost surely, 2^{10001001012121} is an apocalyptic number.

It is an amenable number.

10001001012121 is a deficient number, since it is larger than the sum of its proper divisors (1557430543079).

10001001012121 is an equidigital number, since it uses as much as digits as its factorization.

10001001012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406128.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001001012121 its reverse (12121010010001), we get a palindrome (22122011022122).

The spelling of 10001001012121 in words is "ten trillion, one billion, one million, twelve thousand, one hundred twenty-one".