10001222201001 has 8 divisors (see below), whose sum is σ = 13794789242880. Its totient is φ = 6437568313232.

The previous prime is 10001222200961. The next prime is 10001222201023. The reversal of 10001222201001 is 10010222210001.

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 10001222201001 - 2¹⁷ = 10001222069929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001222201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57478288425 + ... + 57478288598.

It is an arithmetic number, because the mean of its divisors is an integer number (1724348655360).

Almost surely, 2^{10001222201001} is an apocalyptic number.

It is an amenable number.

10001222201001 is a deficient number, since it is larger than the sum of its proper divisors (3793567041879).

10001222201001 is a wasteful number, since it uses less digits than its factorization.

10001222201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114956577055.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001222201001 its reverse (10010222210001), we get a palindrome (20011444411002).

The spelling of 10001222201001 in words is "ten trillion, one billion, two hundred twenty-two million, two hundred one thousand, one".