101110001088 has 224 divisors, whose sum is σ = 276734016000. Its totient is φ = 32567721984.

The previous prime is 101110001087. The next prime is 101110001117. The reversal of 101110001088 is 880100011101.

It is a happy number.

It is a super-2 number, since 2×101110001088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225189088 + ... + 225189536.

Almost surely, 2^101110001088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138367008000).

101110001088 is an abundant number, since it is smaller than the sum of its proper divisors (175624014912).

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

101110001088 is a wasteful number, since it uses less digits than its factorization.

101110001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 101110001088 its reverse (880100011101), we get a palindrome (981210012189).

The spelling of 101110001088 in words is "one hundred one billion, one hundred ten million, one thousand, eighty-eight".