1033012100 has 54 divisors (see below), whose sum is σ = 2264444910. Its totient is φ = 409041920.

The previous prime is 1033012093. The next prime is 1033012111. The reversal of 1033012100 is 12103301.

It can be written as a sum of positive squares in 9 ways, for example, as 703734784 + 329277316 = 26528^2 + 18146^2 .

It is a super-2 number, since 2×1033012100² = 2134227997492820000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1276496 + ... + 1277304.

It is an arithmetic number, because the mean of its divisors is an integer number (41934165).

Almost surely, 2^1033012100 is an apocalyptic number.

1033012100 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 1033012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132222455).

1033012100 is an abundant number, since it is smaller than the sum of its proper divisors (1231432810).

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

1033012100 is a wasteful number, since it uses less digits than its factorization.

1033012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1033012100 is about 32140.5055965210. The cubic root of 1033012100 is about 1010.8851176368.

Adding to 1033012100 its reverse (12103301), we get a palindrome (1045115401).

The spelling of 1033012100 in words is "one billion, thirty-three million, twelve thousand, one hundred".