100011011000000 has 196 divisors, whose sum is σ = 248294700380904. Its totient is φ = 39968332800000.

The previous prime is 100011010999993. The next prime is 100011011000023. The reversal of 100011011000000 is 110110001.

100011011000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1122955472 + ... + 1123044528.

Almost surely, 2^{100011011000000} is an apocalyptic number.

100011011000000 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 100011011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124147350190452).

100011011000000 is an abundant number, since it is smaller than the sum of its proper divisors (148283689380904).

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

100011011000000 is an frugal number, since it uses more digits than its factorization.

100011011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90222 (or 90187 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100011011000000 its reverse (110110001), we get a palindrome (100011121110001).

The spelling of 100011011000000 in words is "one hundred trillion, eleven billion, eleven million", and thus it is an aban number.