102202112101111 has 64 divisors (see below), whose sum is σ = 115755962319360. Its totient is φ = 89431372800000.

The previous prime is 102202112101109. The next prime is 102202112101157. The reversal of 102202112101111 is 111101211202201.

It is not a de Polignac number, because 102202112101111 - 2¹ = 102202112101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202112111111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9595536136 + ... + 9595546786.

It is an arithmetic number, because the mean of its divisors is an integer number (1808686911240).

Almost surely, 2^{102202112101111} is an apocalyptic number.

102202112101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102202112101111 is a deficient number, since it is larger than the sum of its proper divisors (13553850218249).

102202112101111 is a wasteful number, since it uses less digits than its factorization.

102202112101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102202112101111 its reverse (111101211202201), we get a palindrome (213303323303312).

The spelling of 102202112101111 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred one thousand, one hundred eleven".