10121121021001 has 16 divisors (see below), whose sum is σ = 10485790640640. Its totient is φ = 9758853884160.

The previous prime is 10121121020999. The next prime is 10121121021019. The reversal of 10121121021001 is 10012012112101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10121121021001 - 2¹ = 10121121020999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121121021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38189121 + ... + 38453233.

It is an arithmetic number, because the mean of its divisors is an integer number (655361915040).

Almost surely, 2^{10121121021001} is an apocalyptic number.

It is an amenable number.

10121121021001 is a deficient number, since it is larger than the sum of its proper divisors (364669619639).

10121121021001 is a wasteful number, since it uses less digits than its factorization.

10121121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268656.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121121021001 its reverse (10012012112101), we get a palindrome (20133133133102).

The spelling of 10121121021001 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, one".