101120688 has 120 divisors (see below), whose sum is σ = 294647808. Its totient is φ = 32351616.

The previous prime is 101120687. The next prime is 101120689. The reversal of 101120688 is 886021101.

It is an interprime number because it is at equal distance from previous prime (101120687) and next prime (101120689).

It is not an unprimeable number, because it can be changed into a prime (101120681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 453345 + ... + 453567.

Almost surely, 2^101120688 is an apocalyptic number.

101120688 is a gapful number since it is divisible by the number (18) 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 101120688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147323904).

101120688 is an abundant number, since it is smaller than the sum of its proper divisors (193527120).

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

101120688 is a wasteful number, since it uses less digits than its factorization.

101120688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101120688 is about 10055.8782808863. The cubic root of 101120688 is about 465.8863703987.

Adding to 101120688 its reverse (886021101), we get a palindrome (987141789).

The spelling of 101120688 in words is "one hundred one million, one hundred twenty thousand, six hundred eighty-eight".