10021001012001 has 48 divisors (see below), whose sum is σ = 16660227792000. Its totient is φ = 5685601123584.

The previous prime is 10021001011999. The next prime is 10021001012041. The reversal of 10021001012001 is 10021010012001.

It is a happy number.

It is not a de Polignac number, because 10021001012001 - 2¹ = 10021001011999 is a prime.

It is a super-2 number, since 2×10021001012001² (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10021001012041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23623365 + ... + 24043821.

It is an arithmetic number, because the mean of its divisors is an integer number (347088079000).

Almost surely, 2^{10021001012001} is an apocalyptic number.

It is an amenable number.

10021001012001 is a deficient number, since it is larger than the sum of its proper divisors (6639226779999).

10021001012001 is a wasteful number, since it uses less digits than its factorization.

10021001012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423158 (or 423155 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021001012001 its reverse (10021010012001), we get a palindrome (20042011024002).

Subtracting 10021001012001 from its reverse (10021010012001), we obtain a square (9000000 = 3000²).

The spelling of 10021001012001 in words is "ten trillion, twenty-one billion, one million, twelve thousand, one".