102122221010111 has 16 divisors (see below), whose sum is σ = 112831178342400. Its totient is φ = 91935718562688.

The previous prime is 102122221010081. The next prime is 102122221010113. The reversal of 102122221010111 is 111010122221201.

It is not a de Polignac number, because 102122221010111 - 2¹⁰ = 102122221009087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122221010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221010113) 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 15 ways as a sum of consecutive naturals, for example, 125715710 + ... + 126525428.

It is an arithmetic number, because the mean of its divisors is an integer number (7051948646400).

Almost surely, 2^{102122221010111} is an apocalyptic number.

102122221010111 is a deficient number, since it is larger than the sum of its proper divisors (10708957332289).

102122221010111 is a wasteful number, since it uses less digits than its factorization.

102122221010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132318.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102122221010111 its reverse (111010122221201), we get a palindrome (213132343231312).

The spelling of 102122221010111 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, ten thousand, one hundred eleven".