102101320 has 64 divisors (see below), whose sum is σ = 247918320. Its totient is φ = 37699584.

The previous prime is 102101297. The next prime is 102101333. The reversal of 102101320 is 23101201.

It can be written as a sum of positive squares in 8 ways, for example, as 64866916 + 37234404 = 8054^2 + 6102^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101297 and 102101306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34624 + ... + 37456.

Almost surely, 2^102101320 is an apocalyptic number.

102101320 is a gapful number since it is divisible by the number (10) 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 102101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959160).

102101320 is an abundant number, since it is smaller than the sum of its proper divisors (145817000).

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

102101320 is a wasteful number, since it uses less digits than its factorization.

102101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102101320 is about 10104.5197807714. The cubic root of 102101320 is about 467.3875276346.

Adding to 102101320 its reverse (23101201), we get a palindrome (125202521).

The spelling of 102101320 in words is "one hundred two million, one hundred one thousand, three hundred twenty".