102211322113 has 16 divisors (see below), whose sum is σ = 108003912192. Its totient is φ = 96576480000.

The previous prime is 102211322093. The next prime is 102211322117. The reversal of 102211322113 is 311223112201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211322113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211322117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3800313 + ... + 3827113.

It is an arithmetic number, because the mean of its divisors is an integer number (6750244512).

Almost surely, 2^102211322113 is an apocalyptic number.

It is an amenable number.

102211322113 is a deficient number, since it is larger than the sum of its proper divisors (5792590079).

102211322113 is a wasteful number, since it uses less digits than its factorization.

102211322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29736.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102211322113 its reverse (311223112201), we get a palindrome (413434434314).

The spelling of 102211322113 in words is "one hundred two billion, two hundred eleven million, three hundred twenty-two thousand, one hundred thirteen".