10221121021001 has 8 divisors (see below), whose sum is σ = 11339302212000. Its totient is φ = 9134437891840.

The previous prime is 10221121020991. The next prime is 10221121021003. The reversal of 10221121021001 is 10012012112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221121021001 - 2¹⁴ = 10221121004617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221121021003) 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 7 ways as a sum of consecutive naturals, for example, 7874514776 + ... + 7874516073.

It is an arithmetic number, because the mean of its divisors is an integer number (1417412776500).

Almost surely, 2^{10221121021001} is an apocalyptic number.

10221121021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221121021001 is a deficient number, since it is larger than the sum of its proper divisors (1118181190999).

10221121021001 is a wasteful number, since it uses less digits than its factorization.

10221121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749030919.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221121021001 its reverse (10012012112201), we get a palindrome (20233133133202).

The spelling of 10221121021001 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, one".