102110132310 has 256 divisors, whose sum is σ = 275904921600. Its totient is φ = 24063975936.

The previous prime is 102110132281. The next prime is 102110132351. The reversal of 102110132310 is 13231011201.

It is a happy number.

It is a super-2 number, since 2×102110132310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102110132310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154946761 + ... + 154947419.

It is an arithmetic number, because the mean of its divisors is an integer number (1077753600).

Almost surely, 2^102110132310 is an apocalyptic number.

102110132310 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 102110132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137952460800).

102110132310 is an abundant number, since it is smaller than the sum of its proper divisors (173794789290).

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

102110132310 is a wasteful number, since it uses less digits than its factorization.

102110132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102110132310 its reverse (13231011201), we get a palindrome (115341143511).

The spelling of 102110132310 in words is "one hundred two billion, one hundred ten million, one hundred thirty-two thousand, three hundred ten".