1002012001001 has 48 divisors (see below), whose sum is σ = 1130710440960. Its totient is φ = 880424160000.

The previous prime is 1002012000949. The next prime is 1002012001009. The reversal of 1002012001001 is 1001002102001.

It is not a de Polignac number, because 1002012001001 - 2¹⁸ = 1002011738857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002012001001.

It is not an unprimeable number, because it can be changed into a prime (1002012001009) 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 47 ways as a sum of consecutive naturals, for example, 681176696 + ... + 681178166.

It is an arithmetic number, because the mean of its divisors is an integer number (23556467520).

Almost surely, 2^{1002012001001} is an apocalyptic number.

1002012001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002012001001 is a deficient number, since it is larger than the sum of its proper divisors (128698439959).

1002012001001 is a wasteful number, since it uses less digits than its factorization.

1002012001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002012001001 its reverse (1001002102001), we get a palindrome (2003014103002).

It can be divided in two parts, 10020 and 12001001, that added together give a palindrome (12011021).

The spelling of 1002012001001 in words is "one trillion, two billion, twelve million, one thousand, one".