100111001088 has 320 divisors, whose sum is σ = 313611927552. Its totient is φ = 27784028160.

The previous prime is 100111001087. The next prime is 100111001099. The reversal of 100111001088 is 880100111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001087) 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, 103100443 + ... + 103101413.

Almost surely, 2^100111001088 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 100111001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156805963776).

100111001088 is an abundant number, since it is smaller than the sum of its proper divisors (213500926464).

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

100111001088 is an equidigital number, since it uses as much as digits as its factorization.

100111001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1249 counting only the distinct ones).

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

Adding to 100111001088 its reverse (880100111001), we get a palindrome (980211112089).

The spelling of 100111001088 in words is "one hundred billion, one hundred eleven million, one thousand, eighty-eight".