10221002112001 has 24 divisors (see below), whose sum is σ = 11424177237960. Its totient is φ = 9111572361216.

The previous prime is 10221002111993. The next prime is 10221002112023. The reversal of 10221002112001 is 10021120012201.

It can be written as a sum of positive squares in 4 ways, for example, as 3536088441601 + 6684913670400 = 1880449^2 + 2585520^2 .

It is not a de Polignac number, because 10221002112001 - 2³ = 10221002111993 is a prime.

It is a super-3 number, since 3×10221002112001³ (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 (10221002115001) 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 23 ways as a sum of consecutive naturals, for example, 29833465 + ... + 30174121.

It is an arithmetic number, because the mean of its divisors is an integer number (476007384915).

Almost surely, 2^{10221002112001} is an apocalyptic number.

It is an amenable number.

10221002112001 is a deficient number, since it is larger than the sum of its proper divisors (1203175125959).

10221002112001 is a wasteful number, since it uses less digits than its factorization.

10221002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345601 (or 345582 counting only the distinct ones).

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

Adding to 10221002112001 its reverse (10021120012201), we get a palindrome (20242122124202).

The spelling of 10221002112001 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, one".