1012011112 has 48 divisors (see below), whose sum is σ = 2229262020. Its totient is φ = 429408000.

The previous prime is 1012011107. The next prime is 1012011157. The reversal of 1012011112 is 2111102101.

It can be written as a sum of positive squares in 2 ways, for example, as 808492356 + 203518756 = 28434^2 + 14266^2 .

It is a super-2 number, since 2×1012011112² = 2048332981622953088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26812 + ... + 52372.

Almost surely, 2^1012011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114631010).

1012011112 is an abundant number, since it is smaller than the sum of its proper divisors (1217250908).

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

1012011112 is a wasteful number, since it uses less digits than its factorization.

1012011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25682 (or 25671 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1012011112 is about 31812.1220920579. The cubic root of 1012011112 is about 1003.9877804685.

Adding to 1012011112 its reverse (2111102101), we get a palindrome (3123113213).

The spelling of 1012011112 in words is "one billion, twelve million, eleven thousand, one hundred twelve".