221131211132101 has 16 divisors (see below), whose sum is σ = 231029219381760. Its totient is φ = 211384866683200.

The previous prime is 221131211132089. The next prime is 221131211132137. The reversal of 221131211132101 is 101231112131122.

221131211132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221131211132101 - 2³⁷ = 220993772178629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221131211132201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85610346 + ... + 88155508.

It is an arithmetic number, because the mean of its divisors is an integer number (14439326211360).

Almost surely, 2^{221131211132101} is an apocalyptic number.

It is an amenable number.

221131211132101 is a deficient number, since it is larger than the sum of its proper divisors (9898008249659).

221131211132101 is a wasteful number, since it uses less digits than its factorization.

221131211132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574956.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 221131211132101 its reverse (101231112131122), we get a palindrome (322362323263223).

The spelling of 221131211132101 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred thirty-two thousand, one hundred one".