221101301001 has 128 divisors (see below), whose sum is σ = 369792000000. Its totient is φ = 117106456320.

The previous prime is 221101300991. The next prime is 221101301087. The reversal of 221101301001 is 100103101122.

221101301001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221101301001 - 2²⁵ = 221067746569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221101301401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206829495 + ... + 206830563.

It is an arithmetic number, because the mean of its divisors is an integer number (2889000000).

Almost surely, 2^221101301001 is an apocalyptic number.

221101301001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221101301001 is a deficient number, since it is larger than the sum of its proper divisors (148690698999).

221101301001 is a wasteful number, since it uses less digits than its factorization.

221101301001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

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

Adding to 221101301001 its reverse (100103101122), we get a palindrome (321204402123).

The spelling of 221101301001 in words is "two hundred twenty-one billion, one hundred one million, three hundred one thousand, one".