1002100110021 has 12 divisors (see below), whose sum is σ = 1447541243148. Its totient is φ = 668037521664.

The previous prime is 1002100110017. The next prime is 1002100110029. The reversal of 1002100110021 is 1200110012001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 665513324100 + 336586785921 = 815790^2 + 580161^2 .

It is not a de Polignac number, because 1002100110021 - 2² = 1002100110017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002100109985 and 1002100110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100110029) 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 11 ways as a sum of consecutive naturals, for example, 2216620 + ... + 2630133.

It is an arithmetic number, because the mean of its divisors is an integer number (120628436929).

Almost surely, 2^{1002100110021} is an apocalyptic number.

It is an amenable number.

1002100110021 is a deficient number, since it is larger than the sum of its proper divisors (445441133127).

1002100110021 is a wasteful number, since it uses less digits than its factorization.

1002100110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869732 (or 4869729 counting only the distinct ones).

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

Adding to 1002100110021 its reverse (1200110012001), we get a palindrome (2202210122022).

The spelling of 1002100110021 in words is "one trillion, two billion, one hundred million, one hundred ten thousand, twenty-one".