22001012100001 has 12 divisors (see below), whose sum is σ = 25605455990436. Its totient is φ = 18824395377920.

The previous prime is 22001012099977. The next prime is 22001012100007. The reversal of 22001012100001 is 10000121010022.

It can be written as a sum of positive squares in 2 ways, for example, as 11746933664400 + 10254078435601 = 3427380^2 + 3202199^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22001012100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22001012100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5347837540 + ... + 5347841653.

It is an arithmetic number, because the mean of its divisors is an integer number (2133787999203).

Almost surely, 2^{22001012100001} is an apocalyptic number.

It is an amenable number.

22001012100001 is a deficient number, since it is larger than the sum of its proper divisors (3604443890435).

22001012100001 is a wasteful number, since it uses less digits than its factorization.

22001012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695679232 (or 10695679221 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22001012100001 its reverse (10000121010022), we get a palindrome (32001133110023).

The spelling of 22001012100001 in words is "twenty-two trillion, one billion, twelve million, one hundred thousand, one".