110001002001021 has 20 divisors (see below), whose sum is σ = 164322847744000. Its totient is φ = 73333839212136.

The previous prime is 110001002001001. The next prime is 110001002001041. The reversal of 110001002001021 is 120100200100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110001002001001) and next prime (110001002001041).

It is not a de Polignac number, because 110001002001021 - 2¹⁷ = 110001001869949 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001002000994 and 110001002001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001002001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43723140 + ... + 46170498.

It is an arithmetic number, because the mean of its divisors is an integer number (8216142387200).

Almost surely, 2^{110001002001021} is an apocalyptic number.

It is an amenable number.

110001002001021 is a deficient number, since it is larger than the sum of its proper divisors (54321845742979).

110001002001021 is an equidigital number, since it uses as much as digits as its factorization.

110001002001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002270 (or 3002261 counting only the distinct ones).

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

Adding to 110001002001021 its reverse (120100200100011), we get a palindrome (230101202101032).

The spelling of 110001002001021 in words is "one hundred ten trillion, one billion, two million, one thousand, twenty-one".