1002010021001 has 8 divisors (see below), whose sum is σ = 1140628008384. Its totient is φ = 871313061520.

The previous prime is 1002010020971. The next prime is 1002010021073. The reversal of 1002010021001 is 1001200102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1002010021001 - 2³⁰ = 1000936279177 is a prime.

It is a super-2 number, since 2×1002010021001² (a number of 25 digits) contains 22 as substring.

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 1002010021001.

It is not an unprimeable number, because it can be changed into a prime (1002010021091) 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 7 ways as a sum of consecutive naturals, for example, 1980256706 + ... + 1980257211.

It is an arithmetic number, because the mean of its divisors is an integer number (142578501048).

Almost surely, 2^{1002010021001} is an apocalyptic number.

1002010021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002010021001 is a deficient number, since it is larger than the sum of its proper divisors (138617987383).

1002010021001 is a wasteful number, since it uses less digits than its factorization.

1002010021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960513951.

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

Adding to 1002010021001 its reverse (1001200102001), we get a palindrome (2003210123002).

The spelling of 1002010021001 in words is "one trillion, two billion, ten million, twenty-one thousand, one".