22101011101101 has 16 divisors (see below), whose sum is σ = 30419477158400. Its totient is φ = 14258303760960.

The previous prime is 22101011101079. The next prime is 22101011101123. The reversal of 22101011101101 is 10110111010122.

It is an interprime number because it is at equal distance from previous prime (22101011101079) and next prime (22101011101123).

It is not a de Polignac number, because 22101011101101 - 2¹¹ = 22101011099053 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101011101201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198526 + ... + 6651423.

It is an arithmetic number, because the mean of its divisors is an integer number (1901217322400).

Almost surely, 2^{22101011101101} is an apocalyptic number.

It is an amenable number.

22101011101101 is a deficient number, since it is larger than the sum of its proper divisors (8318466057299).

22101011101101 is a wasteful number, since it uses less digits than its factorization.

22101011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884676.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 22101011101101 its reverse (10110111010122), we get a palindrome (32211122111223).

The spelling of 22101011101101 in words is "twenty-two trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred one".