102211333132221 has 32 divisors (see below), whose sum is σ = 155768797111680. Its totient is φ = 66191788510848.

The previous prime is 102211333132217. The next prime is 102211333132241. The reversal of 102211333132221 is 122231333112201.

102211333132221 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 1 + 3 + 331 + 322 + 2 + 1 = 666.

It is not a de Polignac number, because 102211333132221 - 2² = 102211333132217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211333132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82295811 + ... + 83528576.

It is an arithmetic number, because the mean of its divisors is an integer number (4867774909740).

Almost surely, 2^{102211333132221} is an apocalyptic number.

It is an amenable number.

102211333132221 is a deficient number, since it is larger than the sum of its proper divisors (53557463979459).

102211333132221 is a wasteful number, since it uses less digits than its factorization.

102211333132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165825050 (or 165825044 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102211333132221 its reverse (122231333112201), we get a palindrome (224442666244422).

The spelling of 102211333132221 in words is "one hundred two trillion, two hundred eleven billion, three hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty-one".