221101122010001 has 32 divisors (see below), whose sum is σ = 227276958450816. Its totient is φ = 215013960000000.

The previous prime is 221101122009949. The next prime is 221101122010009. The reversal of 221101122010001 is 100010221101122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221101122010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221101122010009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19651680626 + ... + 19651691876.

It is an arithmetic number, because the mean of its divisors is an integer number (7102404951588).

Almost surely, 2^{221101122010001} is an apocalyptic number.

It is an amenable number.

221101122010001 is a deficient number, since it is larger than the sum of its proper divisors (6175836440815).

221101122010001 is a wasteful number, since it uses less digits than its factorization.

221101122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221101122010001 its reverse (100010221101122), we get a palindrome (321111343111123).

The spelling of 221101122010001 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred twenty-two million, ten thousand, one".