12201101100001 has 48 divisors (see below), whose sum is σ = 13830567004800. Its totient is φ = 10750674471680.

The previous prime is 12201101099947. The next prime is 12201101100037. The reversal of 12201101100001 is 10000110110221.

It is not a de Polignac number, because 12201101100001 - 2²¹ = 12201099002849 is a prime.

It is a super-2 number, since 2×12201101100001² (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 (12201101100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246317805 + ... + 246367333.

It is an arithmetic number, because the mean of its divisors is an integer number (288136812600).

Almost surely, 2^{12201101100001} is an apocalyptic number.

12201101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201101100001 is a deficient number, since it is larger than the sum of its proper divisors (1629465904799).

12201101100001 is a wasteful number, since it uses less digits than its factorization.

12201101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50070 (or 50059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12201101100001 its reverse (10000110110221), we get a palindrome (22201211210222).

The spelling of 12201101100001 in words is "twelve trillion, two hundred one billion, one hundred one million, one hundred thousand, one".