221101100001 has 12 divisors (see below), whose sum is σ = 320105832228. Its totient is φ = 147060313344.

The previous prime is 221101099931. The next prime is 221101100041. The reversal of 221101100001 is 100001101122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108069987600 + 113031112401 = 328740^2 + 336201^2 .

It is not a de Polignac number, because 221101100001 - 2¹⁵ = 221101067233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (221101100041) 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, 28364220 + ... + 28372013.

It is an arithmetic number, because the mean of its divisors is an integer number (26675486019).

Almost surely, 2^221101100001 is an apocalyptic number.

It is an amenable number.

221101100001 is a deficient number, since it is larger than the sum of its proper divisors (99004732227).

221101100001 is a wasteful number, since it uses less digits than its factorization.

221101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56736672 (or 56736669 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221101100001 its reverse (100001101122), we get a palindrome (321102201123).

The spelling of 221101100001 in words is "two hundred twenty-one billion, one hundred one million, one hundred thousand, one".