1004102102201 has 16 divisors (see below), whose sum is σ = 1104529732800. Its totient is φ = 912743346240.

The previous prime is 1004102102191. The next prime is 1004102102203. The reversal of 1004102102201 is 1022012014001.

It is a happy number.

1004102102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004102102201 - 2¹⁴ = 1004102085817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004102102203) 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, 21084545 + ... + 21132113.

It is an arithmetic number, because the mean of its divisors is an integer number (69033108300).

Almost surely, 2^{1004102102201} is an apocalyptic number.

1004102102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004102102201 is a deficient number, since it is larger than the sum of its proper divisors (100427630599).

1004102102201 is an equidigital number, since it uses as much as digits as its factorization.

1004102102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63461 (or 63439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1004102102201 its reverse (1022012014001), we get a palindrome (2026114116202).

The spelling of 1004102102201 in words is "one trillion, four billion, one hundred two million, one hundred two thousand, two hundred one".