1002100221011 has 16 divisors (see below), whose sum is σ = 1042070400000. Its totient is φ = 962616597600.

The previous prime is 1002100220963. The next prime is 1002100221019. The reversal of 1002100221011 is 1101220012001.

It is a cyclic number.

It is not a de Polignac number, because 1002100221011 - 2¹⁰ = 1002100219987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002100220983 and 1002100221001.

It is not an unprimeable number, because it can be changed into a prime (1002100221019) 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, 6851516 + ... + 6996246.

It is an arithmetic number, because the mean of its divisors is an integer number (65129400000).

Almost surely, 2^{1002100221011} is an apocalyptic number.

1002100221011 is a deficient number, since it is larger than the sum of its proper divisors (39970178989).

1002100221011 is a wasteful number, since it uses less digits than its factorization.

1002100221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146410.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002100221011 its reverse (1101220012001), we get a palindrome (2103320233012).

The spelling of 1002100221011 in words is "one trillion, two billion, one hundred million, two hundred twenty-one thousand, eleven".