10021111002001 has 16 divisors (see below), whose sum is σ = 10960164304128. Its totient is φ = 9086748080400.

The previous prime is 10021111001989. The next prime is 10021111002043. The reversal of 10021111002001 is 10020011112001.

It is a cyclic number.

It is not a de Polignac number, because 10021111002001 - 2²³ = 10021102613393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021111902001) 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, 11768446 + ... + 12591208.

It is an arithmetic number, because the mean of its divisors is an integer number (685010269008).

Almost surely, 2^{10021111002001} is an apocalyptic number.

10021111002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021111002001 is a deficient number, since it is larger than the sum of its proper divisors (939053302127).

10021111002001 is a wasteful number, since it uses less digits than its factorization.

10021111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825612.

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

Adding to 10021111002001 its reverse (10020011112001), we get a palindrome (20041122114002).

The spelling of 10021111002001 in words is "ten trillion, twenty-one billion, one hundred eleven million, two thousand, one".