10022201121001 has 8 divisors (see below), whose sum is σ = 10025615310984. Its totient is φ = 10018787235840.

The previous prime is 10022201120999. The next prime is 10022201121041. The reversal of 10022201121001 is 10012110222001.

It can be written as a sum of positive squares in 4 ways, for example, as 778770950400 + 9243430170601 = 882480^2 + 3040301^2 .

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 10022201121001 - 2¹ = 10022201120999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022201121041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79520631 + ... + 79646563.

It is an arithmetic number, because the mean of its divisors is an integer number (1253201913873).

Almost surely, 2^{10022201121001} is an apocalyptic number.

It is an amenable number.

10022201121001 is a deficient number, since it is larger than the sum of its proper divisors (3414189983).

10022201121001 is a wasteful number, since it uses less digits than its factorization.

10022201121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152411.

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

Adding to 10022201121001 its reverse (10012110222001), we get a palindrome (20034311343002).

The spelling of 10022201121001 in words is "ten trillion, twenty-two billion, two hundred one million, one hundred twenty-one thousand, one".