101009128 has 32 divisors (see below), whose sum is σ = 207000000. Its totient is φ = 45826560.

The previous prime is 101009057. The next prime is 101009137. The reversal of 101009128 is 821900101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101009099 and 101009108.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 80248 + ... + 81496.

It is an arithmetic number, because the mean of its divisors is an integer number (6468750).

Almost surely, 2^101009128 is an apocalyptic number.

It is an amenable number.

101009128 is an abundant number, since it is smaller than the sum of its proper divisors (105990872).

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

101009128 is a wasteful number, since it uses less digits than its factorization.

101009128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 101009128 is about 10050.3297458342. The cubic root of 101009128 is about 465.7149797910.

Adding to 101009128 its reverse (821900101), we get a palindrome (922909229).

The spelling of 101009128 in words is "one hundred one million, nine thousand, one hundred twenty-eight".