1001300100021 has 24 divisors (see below), whose sum is σ = 1557708767160. Its totient is φ = 616132918656.

The previous prime is 1001300100007. The next prime is 1001300100023. The reversal of 1001300100021 is 1200010031001.

It can be written as a sum of positive squares in 4 ways, for example, as 383456939121 + 617843160900 = 619239^2 + 786030^2 .

It is not a de Polignac number, because 1001300100021 - 2¹³ = 1001300091829 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001300099976 and 1001300100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001300100023) 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 23 ways as a sum of consecutive naturals, for example, 1063375 + ... + 1770131.

It is an arithmetic number, because the mean of its divisors is an integer number (64904531965).

Almost surely, 2^{1001300100021} is an apocalyptic number.

It is an amenable number.

1001300100021 is a deficient number, since it is larger than the sum of its proper divisors (556408667139).

1001300100021 is a wasteful number, since it uses less digits than its factorization.

1001300100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718885 (or 718882 counting only the distinct ones).

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

Adding to 1001300100021 its reverse (1200010031001), we get a palindrome (2201310131022).

The spelling of 1001300100021 in words is "one trillion, one billion, three hundred million, one hundred thousand, twenty-one".