1002122001 has 12 divisors (see below), whose sum is σ = 1532657412. Its totient is φ = 628782336.

The previous prime is 1002121963. The next prime is 1002122047. The reversal of 1002122001 is 1002212001.

It can be written as a sum of positive squares in 2 ways, for example, as 708890625 + 293231376 = 26625^2 + 17124^2 .

It is not a de Polignac number, because 1002122001 - 2⁹ = 1002121489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1002122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274756 + ... + 3275061.

It is an arithmetic number, because the mean of its divisors is an integer number (127721451).

Almost surely, 2^1002122001 is an apocalyptic number.

It is an amenable number.

1002122001 is a deficient number, since it is larger than the sum of its proper divisors (530535411).

1002122001 is a wasteful number, since it uses less digits than its factorization.

1002122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549840 (or 6549837 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002122001 is about 31656.3106031009. The cubic root of 1002122001 is about 1000.7068339347.

Adding to 1002122001 its reverse (1002212001), we get a palindrome (2004334002).

Subtracting 1002122001 from its reverse (1002212001), we obtain a square (90000 = 300²).

The spelling of 1002122001 in words is "one billion, two million, one hundred twenty-two thousand, one".