10001121121001 has 16 divisors (see below), whose sum is σ = 10467522000000. Its totient is φ = 9537354317568.

The previous prime is 10001121120997. The next prime is 10001121121039. The reversal of 10001121121001 is 10012112110001.

It is a cyclic number.

It is not a de Polignac number, because 10001121121001 - 2² = 10001121120997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001121121051) 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, 215059250 + ... + 215105748.

It is an arithmetic number, because the mean of its divisors is an integer number (654220125000).

Almost surely, 2^{10001121121001} is an apocalyptic number.

It is an amenable number.

10001121121001 is a deficient number, since it is larger than the sum of its proper divisors (466400878999).

10001121121001 is a wasteful number, since it uses less digits than its factorization.

10001121121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74608.

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

Adding to 10001121121001 its reverse (10012112110001), we get a palindrome (20013233231002).

The spelling of 10001121121001 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, one".