1010032120 has 32 divisors (see below), whose sum is σ = 2371381920. Its totient is φ = 386446720.

The previous prime is 1010032103. The next prime is 1010032123. The reversal of 1010032120 is 212300101.

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 = 1010032097 and 1010032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 548011 + ... + 549850.

It is an arithmetic number, because the mean of its divisors is an integer number (74105685).

Almost surely, 2^1010032120 is an apocalyptic number.

1010032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010032120 is an abundant number, since it is smaller than the sum of its proper divisors (1361349800).

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

1010032120 is a wasteful number, since it uses less digits than its factorization.

1010032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097895 (or 1097891 counting only the distinct ones).

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

The square root of 1010032120 is about 31781.0025014945. The cubic root of 1010032120 is about 1003.3329193078.

Adding to 1010032120 its reverse (212300101), we get a palindrome (1222332221).

The spelling of 1010032120 in words is "one billion, ten million, thirty-two thousand, one hundred twenty".