1012103200 has 36 divisors (see below), whose sum is σ = 2470798890. Its totient is φ = 404840960.

The previous prime is 1012103173. The next prime is 1012103227. The reversal of 1012103200 is 23012101.

It is an interprime number because it is at equal distance from previous prime (1012103173) and next prime (1012103227).

It can be written as a sum of positive squares in 3 ways, for example, as 938074384 + 74028816 = 30628^2 + 8604^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631765 + ... + 633364.

Almost surely, 2^1012103200 is an apocalyptic number.

1012103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012103200 is an abundant number, since it is smaller than the sum of its proper divisors (1458695690).

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

1012103200 is a wasteful number, since it uses less digits than its factorization.

1012103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265149 (or 1265136 counting only the distinct ones).

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

The square root of 1012103200 is about 31813.5694319264. The cubic root of 1012103200 is about 1004.0182321837.

Adding to 1012103200 its reverse (23012101), we get a palindrome (1035115301).

The spelling of 1012103200 in words is "one billion, twelve million, one hundred three thousand, two hundred".