102110220122112 has 288 divisors, whose sum is σ = 303131043633600. Its totient is φ = 33089782874112.

The previous prime is 102110220122111. The next prime is 102110220122161. The reversal of 102110220122112 is 211221022011201.

102110220122112 is a `hidden beast` number, since 1 + 0 + 211 + 0 + 220 + 1 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110220122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843553689 + ... + 843674727.

It is an arithmetic number, because the mean of its divisors is an integer number (1052538345950).

Almost surely, 2^{102110220122112} is an apocalyptic number.

102110220122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151565521816800).

102110220122112 is an abundant number, since it is smaller than the sum of its proper divisors (201020823511488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102110220122112 is a wasteful number, since it uses less digits than its factorization.

102110220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122341 (or 122318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102110220122112 its reverse (211221022011201), we get a palindrome (313331242133313).

The spelling of 102110220122112 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".