102030120 has 144 divisors (see below), whose sum is σ = 344445660. Its totient is φ = 26191872.

The previous prime is 102030119. The next prime is 102030121. The reversal of 102030120 is 21030201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102030119) and next prime (102030121).

It can be written as a sum of positive squares in 6 ways, for example, as 34363044 + 67667076 = 5862^2 + 8226^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102030121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302592 + ... + 302928.

Almost surely, 2^102030120 is an apocalyptic number.

102030120 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 102030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222830).

102030120 is an abundant number, since it is smaller than the sum of its proper divisors (242415540).

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

102030120 is a wasteful number, since it uses less digits than its factorization.

102030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102030120 is about 10100.9959904952. The cubic root of 102030120 is about 467.2788586823.

Adding to 102030120 its reverse (21030201), we get a palindrome (123060321).

The spelling of 102030120 in words is "one hundred two million, thirty thousand, one hundred twenty".