102221022121211 has 8 divisors (see below), whose sum is σ = 116825326226400. Its totient is φ = 87617043252288.

The previous prime is 102221022121201. The next prime is 102221022121271. The reversal of 102221022121211 is 112121220122201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221022121211 is a prime.

It is a super-2 number, since 2×102221022121211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221022121201) 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 7 ways as a sum of consecutive naturals, for example, 80635196 + ... + 81893081.

It is an arithmetic number, because the mean of its divisors is an integer number (14603165778300).

Almost surely, 2^{102221022121211} is an apocalyptic number.

102221022121211 is a deficient number, since it is larger than the sum of its proper divisors (14604304105189).

102221022121211 is an equidigital number, since it uses as much as digits as its factorization.

102221022121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162618133.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102221022121211 its reverse (112121220122201), we get a palindrome (214342242243412).

The spelling of 102221022121211 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred eleven".