101133216 has 36 divisors (see below), whose sum is σ = 287598402. Its totient is φ = 33710976.

The previous prime is 101133211. The next prime is 101133223. The reversal of 101133216 is 612331101.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 7817616 = 9660^2 + 2796^2 .

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 not an unprimeable number, because it can be changed into a prime (101133211) 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 5 ways as a sum of consecutive naturals, for example, 175291 + ... + 175866.

Almost surely, 2^101133216 is an apocalyptic number.

101133216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101133216 is an abundant number, since it is smaller than the sum of its proper divisors (186465186).

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

101133216 is a wasteful number, since it uses less digits than its factorization.

101133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351173 (or 351162 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101133216 is about 10056.5011808283. The cubic root of 101133216 is about 465.9056094010.

Adding to 101133216 its reverse (612331101), we get a palindrome (713464317).

The spelling of 101133216 in words is "one hundred one million, one hundred thirty-three thousand, two hundred sixteen".