10001102021001 has 80 divisors (see below), whose sum is σ = 19355359408000. Its totient is φ = 4997658776832.

The previous prime is 10001102020993. The next prime is 10001102021087. The reversal of 10001102021001 is 10012020110001.

It is a happy number.

It is not a de Polignac number, because 10001102021001 - 2³ = 10001102020993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001102021501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35565676 + ... + 35845773.

It is an arithmetic number, because the mean of its divisors is an integer number (241941992600).

Almost surely, 2^{10001102021001} is an apocalyptic number.

It is an amenable number.

10001102021001 is a deficient number, since it is larger than the sum of its proper divisors (9354257386999).

10001102021001 is a wasteful number, since it uses less digits than its factorization.

10001102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71411500 (or 71411491 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001102021001 its reverse (10012020110001), we get a palindrome (20013122131002).

The spelling of 10001102021001 in words is "ten trillion, one billion, one hundred two million, twenty-one thousand, one".