10022112210001 has 8 divisors (see below), whose sum is σ = 10721046659400. Its totient is φ = 9335333142528.

The previous prime is 10022112209969. The next prime is 10022112210007. The reversal of 10022112210001 is 10001221122001.

It can be written as a sum of positive squares in 4 ways, for example, as 1813199595601 + 8208912614400 = 1346551^2 + 2865120^2 .

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 10022112210001 - 2⁵ = 10022112209969 is a prime.

It is a super-2 number, since 2×10022112210001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022112210007) 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, 3038843776 + ... + 3038847073.

It is an arithmetic number, because the mean of its divisors is an integer number (1340130832425).

Almost surely, 2^{10022112210001} is an apocalyptic number.

It is an amenable number.

10022112210001 is a deficient number, since it is larger than the sum of its proper divisors (698934449399).

10022112210001 is an equidigital number, since it uses as much as digits as its factorization.

10022112210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077690963.

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

Adding to 10022112210001 its reverse (10001221122001), we get a palindrome (20023333332002).

The spelling of 10022112210001 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred ten thousand, one".