22101101011001 has 32 divisors (see below), whose sum is σ = 23783987501568. Its totient is φ = 20462117114880.

The previous prime is 22101101010953. The next prime is 22101101011009. The reversal of 22101101011001 is 10011010110122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22101101011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101101011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022572871 + ... + 1022594483.

It is an arithmetic number, because the mean of its divisors is an integer number (743249609424).

Almost surely, 2^{22101101011001} is an apocalyptic number.

It is an amenable number.

22101101011001 is a deficient number, since it is larger than the sum of its proper divisors (1682886490567).

22101101011001 is a wasteful number, since it uses less digits than its factorization.

22101101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23561.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 22101101011001 its reverse (10011010110122), we get a palindrome (32112111121123).

The spelling of 22101101011001 in words is "twenty-two trillion, one hundred one billion, one hundred one million, eleven thousand, one".