1001010100021 has 4 divisors (see below), whose sum is σ = 1003651288000. Its totient is φ = 998368912044.

The previous prime is 1001010100001. The next prime is 1001010100031. The reversal of 1001010100021 is 1200010101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001010100021 - 2³⁷ = 863571146549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010099977 and 1001010100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010100001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320593421 + ... + 1320594178.

It is an arithmetic number, because the mean of its divisors is an integer number (250912822000).

Almost surely, 2^{1001010100021} is an apocalyptic number.

It is an amenable number.

1001010100021 is a deficient number, since it is larger than the sum of its proper divisors (2641187979).

1001010100021 is an equidigital number, since it uses as much as digits as its factorization.

1001010100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641187978.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001010100021 its reverse (1200010101001), we get a palindrome (2201020201022).

The spelling of 1001010100021 in words is "one trillion, one billion, ten million, one hundred thousand, twenty-one".