1009901112 has 128 divisors (see below), whose sum is σ = 2923776000. Its totient is φ = 287661440.

The previous prime is 1009901107. The next prime is 1009901119. The reversal of 1009901112 is 2111099001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009901119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356839 + ... + 359657.

It is an arithmetic number, because the mean of its divisors is an integer number (22842000).

Almost surely, 2^1009901112 is an apocalyptic number.

1009901112 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 1009901112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461888000).

1009901112 is an abundant number, since it is smaller than the sum of its proper divisors (1913874888).

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

1009901112 is a wasteful number, since it uses less digits than its factorization.

1009901112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 1009901112 is about 31778.9413291255. The cubic root of 1009901112 is about 1003.2895377427.

The spelling of 1009901112 in words is "one billion, nine million, nine hundred one thousand, one hundred twelve".