101111148 has 36 divisors (see below), whose sum is σ = 257985000. Its totient is φ = 33387456.

The previous prime is 101111123. The next prime is 101111203. The reversal of 101111148 is 841111101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101111148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9273 + ... + 16976.

It is an arithmetic number, because the mean of its divisors is an integer number (7166250).

Almost surely, 2^101111148 is an apocalyptic number.

101111148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101111148 is an abundant number, since it is smaller than the sum of its proper divisors (156873852).

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

101111148 is a wasteful number, since it uses less digits than its factorization.

101111148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26366 (or 26361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 101111148 is about 10055.4039202809. The cubic root of 101111148 is about 465.8717189433.

Adding to 101111148 its reverse (841111101), we get a palindrome (942222249).

The spelling of 101111148 in words is "one hundred one million, one hundred eleven thousand, one hundred forty-eight".