221002221211101 has 16 divisors (see below), whose sum is σ = 357175307008320. Its totient is φ = 133940740127760.

The previous prime is 221002221210959. The next prime is 221002221211103. The reversal of 221002221211101 is 101112122200122.

221002221211101 is a `hidden beast` number, since 2 + 210 + 0 + 222 + 121 + 110 + 1 = 666.

It is not a de Polignac number, because 221002221211101 - 2²⁶ = 221002154102237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002221211103) 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 15 ways as a sum of consecutive naturals, for example, 372057611170 + ... + 372057611763.

It is an arithmetic number, because the mean of its divisors is an integer number (22323456688020).

Almost surely, 2^{221002221211101} is an apocalyptic number.

It is an amenable number.

221002221211101 is a deficient number, since it is larger than the sum of its proper divisors (136173085797219).

221002221211101 is a wasteful number, since it uses less digits than its factorization.

221002221211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744115222953 (or 744115222947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221002221211101 its reverse (101112122200122), we get a palindrome (322114343411223).

The spelling of 221002221211101 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred one".