1000210013001 has 12 divisors (see below), whose sum is σ = 1459642105012. Its totient is φ = 659932379136.

The previous prime is 1000210012957. The next prime is 1000210013003. The reversal of 1000210013001 is 1003100120001.

It can be written as a sum of positive squares in 2 ways, for example, as 475135868601 + 525074144400 = 689301^2 + 724620^2 .

It is not a de Polignac number, because 1000210013001 - 2⁹ = 1000210012489 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 not an unprimeable number, because it can be changed into a prime (1000210013003) 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 11 ways as a sum of consecutive naturals, for example, 572857096 + ... + 572858841.

Almost surely, 2^{1000210013001} is an apocalyptic number.

It is an amenable number.

1000210013001 is a deficient number, since it is larger than the sum of its proper divisors (459432092011).

1000210013001 is a wasteful number, since it uses less digits than its factorization.

1000210013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145716040 (or 1145716037 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000210013001 its reverse (1003100120001), we get a palindrome (2003310133002).

The spelling of 1000210013001 in words is "one trillion, two hundred ten million, thirteen thousand, one".