102111222111201 has 48 divisors (see below), whose sum is σ = 150614756097936. Its totient is φ = 66647576936448.

The previous prime is 102111222111187. The next prime is 102111222111251.

It is a happy number.

102111222111201 is a `hidden beast` number, since 1 + 0 + 211 + 122 + 211 + 120 + 1 = 666.

102111222111201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 11814171980625 + 90297050130576 = 3437175^2 + 9502476^2 .

It is not a de Polignac number, because 102111222111201 - 2¹⁷ = 102111221980129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111222111251) 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 47 ways as a sum of consecutive naturals, for example, 2868839061 + ... + 2868874653.

It is an arithmetic number, because the mean of its divisors is an integer number (3137807418707).

Almost surely, 2^{102111222111201} is an apocalyptic number.

It is an amenable number.

102111222111201 is a deficient number, since it is larger than the sum of its proper divisors (48503533986735).

102111222111201 is a wasteful number, since it uses less digits than its factorization.

102111222111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67682 (or 67679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 102111222111201 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred one".