1011002112 has 108 divisors (see below), whose sum is σ = 2955390984. Its totient is φ = 332328960.

The previous prime is 1011002081. The next prime is 1011002117. The reversal of 1011002112 is 2112001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011002094 and 1011002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011002117) by changing a digit.

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, 165187 + ... + 171197.

Almost surely, 2^1011002112 is an apocalyptic number.

1011002112 is a gapful number since it is divisible by the number (12) 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 1011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477695492).

1011002112 is an abundant number, since it is smaller than the sum of its proper divisors (1944388872).

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

1011002112 is an equidigital number, since it uses as much as digits as its factorization.

1011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011002112 is about 31796.2594026404. The cubic root of 1011002112 is about 1003.6540026687.

Adding to 1011002112 its reverse (2112001101), we get a palindrome (3123003213).

The spelling of 1011002112 in words is "one billion, eleven million, two thousand, one hundred twelve".