102111010110 has 192 divisors, whose sum is σ = 287926516800. Its totient is φ = 25019559936.

The previous prime is 102111010103. The next prime is 102111010117. The reversal of 102111010110 is 11010111201.

It is an interprime number because it is at equal distance from previous prime (102111010103) and next prime (102111010117).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102111010092 and 102111010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111010117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21319596 + ... + 21324384.

It is an arithmetic number, because the mean of its divisors is an integer number (1499617275).

Almost surely, 2^102111010110 is an apocalyptic number.

102111010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963258400).

102111010110 is an abundant number, since it is smaller than the sum of its proper divisors (185815506690).

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

102111010110 is a wasteful number, since it uses less digits than its factorization.

102111010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102111010110 its reverse (11010111201), we get a palindrome (113121121311).

The spelling of 102111010110 in words is "one hundred two billion, one hundred eleven million, ten thousand, one hundred ten".