221110100102001 has 128 divisors (see below), whose sum is σ = 343949355048960. Its totient is φ = 124941533184000.

The previous prime is 221110100101949. The next prime is 221110100102011. The reversal of 221110100102001 is 100201001011122.

It is not a de Polignac number, because 221110100102001 - 2⁷ = 221110100101873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221110100102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16218734481 + ... + 16218748113.

It is an arithmetic number, because the mean of its divisors is an integer number (2687104336320).

Almost surely, 2^{221110100102001} is an apocalyptic number.

It is an amenable number.

221110100102001 is a deficient number, since it is larger than the sum of its proper divisors (122839254946959).

221110100102001 is a wasteful number, since it uses less digits than its factorization.

221110100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221110100102001 its reverse (100201001011122), we get a palindrome (321311101113123).

The spelling of 221110100102001 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred million, one hundred two thousand, one".