1011012112 has 120 divisors (see below), whose sum is σ = 2260855296. Its totient is φ = 437184000.

The previous prime is 1011012103. The next prime is 1011012139. The reversal of 1011012112 is 2112101101.

It is a super-2 number, since 2×1011012112² = 2044290981221401088, 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 23 ways as a sum of consecutive naturals, for example, 3730537 + ... + 3730807.

Almost surely, 2^1011012112 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 1011012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130427648).

1011012112 is an abundant number, since it is smaller than the sum of its proper divisors (1249843184).

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

1011012112 is a wasteful number, since it uses less digits than its factorization.

1011012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

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

The square root of 1011012112 is about 31796.4166534533. The cubic root of 1011012112 is about 1003.6573117640.

Adding to 1011012112 its reverse (2112101101), we get a palindrome (3123113213).

It can be divided in two parts, 101101 and 2112, that multiplied together give a palindrome (213525312).

The spelling of 1011012112 in words is "one billion, eleven million, twelve thousand, one hundred twelve".