1002100221001 has 16 divisors (see below), whose sum is σ = 1094899176000. Its totient is φ = 909585158400.

The previous prime is 1002100220963. The next prime is 1002100221019. The reversal of 1002100221001 is 1001220012001.

1002100221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002100221001 - 2²⁵ = 1002066666569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002100221041) 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, 30752245 + ... + 30784813.

It is an arithmetic number, because the mean of its divisors is an integer number (68431198500).

Almost surely, 2^{1002100221001} is an apocalyptic number.

1002100221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002100221001 is a deficient number, since it is larger than the sum of its proper divisors (92798954999).

1002100221001 is a wasteful number, since it uses less digits than its factorization.

1002100221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36840.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002100221001 its reverse (1001220012001), we get a palindrome (2003320233002).

The spelling of 1002100221001 in words is "one trillion, two billion, one hundred million, two hundred twenty-one thousand, one".