10221022101001 has 8 divisors (see below), whose sum is σ = 10226452710600. Its totient is φ = 10215591808128.

The previous prime is 10221022100983. The next prime is 10221022101013. The reversal of 10221022101001 is 10010122012201.

It can be written as a sum of positive squares in 4 ways, for example, as 375867086400 + 9845155014601 = 613080^2 + 3137699^2 .

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 10221022101001 - 2¹⁷ = 10221021969929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221022101041) 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, 93103195 + ... + 93212911.

It is an arithmetic number, because the mean of its divisors is an integer number (1278306588825).

Almost surely, 2^{10221022101001} is an apocalyptic number.

It is an amenable number.

10221022101001 is a deficient number, since it is larger than the sum of its proper divisors (5430609599).

10221022101001 is a wasteful number, since it uses less digits than its factorization.

10221022101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158363.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221022101001 its reverse (10010122012201), we get a palindrome (20231144113202).

The spelling of 10221022101001 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, one hundred one thousand, one".