10221011001001 has 16 divisors (see below), whose sum is σ = 10361326877440. Its totient is φ = 10081416660480.

The previous prime is 10221011000983. The next prime is 10221011001011. The reversal of 10221011001001 is 10010011012201.

It is a cyclic number.

It is not a de Polignac number, because 10221011001001 - 2²⁹ = 10220474130089 is a prime.

It is a super-3 number, since 3×10221011001001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221011001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310548736 + ... + 310581646.

It is an arithmetic number, because the mean of its divisors is an integer number (647582929840).

Almost surely, 2^{10221011001001} is an apocalyptic number.

It is an amenable number.

10221011001001 is a deficient number, since it is larger than the sum of its proper divisors (140315876439).

10221011001001 is a wasteful number, since it uses less digits than its factorization.

10221011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43744.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10221011001001 its reverse (10010011012201), we get a palindrome (20231022013202).

The spelling of 10221011001001 in words is "ten trillion, two hundred twenty-one billion, eleven million, one thousand, one".