1001012112 has 120 divisors (see below), whose sum is σ = 2958664800. Its totient is φ = 315062784.

The previous prime is 1001012107. The next prime is 1001012123. The reversal of 1001012112 is 2112101001.

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 = 1001012094 and 1001012103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556463 + ... + 1557105.

It is an arithmetic number, because the mean of its divisors is an integer number (24655540).

Almost surely, 2^1001012112 is an apocalyptic number.

1001012112 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 1001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479332400).

1001012112 is an abundant number, since it is smaller than the sum of its proper divisors (1957652688).

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

1001012112 is a wasteful number, since it uses less digits than its factorization.

1001012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

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

The square root of 1001012112 is about 31638.7754503868. The cubic root of 1001012112 is about 1000.3372569117.

Adding to 1001012112 its reverse (2112101001), we get a palindrome (3113113113).

Subtracting 1001012112 from its reverse (2112101001), we obtain a square (1111088889 = 33333²).

It can be divided in two parts, 10010 and 12112, that added together give a palindrome (22122).

The spelling of 1001012112 in words is "one billion, one million, twelve thousand, one hundred twelve".