102101310 has 48 divisors (see below), whose sum is σ = 275301936. Its totient is φ = 27226368.

The previous prime is 102101297. The next prime is 102101333. The reversal of 102101310 is 13101201.

It is a super-2 number, since 2×102101310² = 20849355007432200, which contains 22 as substring.

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 = 102101292 and 102101301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18579 + ... + 23438.

It is an arithmetic number, because the mean of its divisors is an integer number (5735457).

Almost surely, 2^102101310 is an apocalyptic number.

102101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101310 is an abundant number, since it is smaller than the sum of its proper divisors (173200626).

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

102101310 is an equidigital number, since it uses as much as digits as its factorization.

102101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42039 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102101310 is about 10104.5192859433. The cubic root of 102101310 is about 467.3875123756.

Adding to 102101310 its reverse (13101201), we get a palindrome (115202511).

The spelling of 102101310 in words is "one hundred two million, one hundred one thousand, three hundred ten".