102013120 has 112 divisors (see below), whose sum is σ = 269309088. Its totient is φ = 36495360.

The previous prime is 102013111. The next prime is 102013151. The reversal of 102013120 is 21310201.

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 = 102013097 and 102013106.

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, 256762 + ... + 257158.

Almost surely, 2^102013120 is an apocalyptic number.

102013120 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 102013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134654544).

102013120 is an abundant number, since it is smaller than the sum of its proper divisors (167295968).

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

102013120 is a wasteful number, since it uses less digits than its factorization.

102013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

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

The square root of 102013120 is about 10100.1544542645. The cubic root of 102013120 is about 467.2529049678.

Adding to 102013120 its reverse (21310201), we get a palindrome (123323321).

The spelling of 102013120 in words is "one hundred two million, thirteen thousand, one hundred twenty".