101088000000 has 1008 divisors, whose sum is σ = 407575251720. Its totient is φ = 24883200000.

The previous prime is 101087999983. The next prime is 101088000049. The reversal of 101088000000 is 880101.

It is a happy number.

It is a super-3 number, since 3×101088000000³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 7775999994 + ... + 7776000006.

Almost surely, 2^101088000000 is an apocalyptic number.

101088000000 is a gapful number since it is divisible by the number (10) 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 101088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203787625860).

101088000000 is an abundant number, since it is smaller than the sum of its proper divisors (306487251720).

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

101088000000 is an frugal number, since it uses more digits than its factorization.

101088000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101088000000 its reverse (880101), we get a palindrome (101088880101).

It can be divided in two parts, 10108 and 8000000, that added together give a palindrome (8010108).

The spelling of 101088000000 in words is "one hundred one billion, eighty-eight million", and thus it is an aban number.