101111232 has 112 divisors (see below), whose sum is σ = 281992832. Its totient is φ = 31933440.

The previous prime is 101111203. The next prime is 101111237. The reversal of 101111232 is 232111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111237) 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 15 ways as a sum of consecutive naturals, for example, 305307 + ... + 305637.

Almost surely, 2^101111232 is an apocalyptic number.

101111232 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 101111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140996416).

101111232 is an abundant number, since it is smaller than the sum of its proper divisors (180881600).

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

101111232 is a wasteful number, since it uses less digits than its factorization.

101111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101111232 is about 10055.4080971386. The cubic root of 101111232 is about 465.8718479539.

Adding to 101111232 its reverse (232111101), we get a palindrome (333222333).

The spelling of 101111232 in words is "one hundred one million, one hundred eleven thousand, two hundred thirty-two".