101101110000 has 200 divisors, whose sum is σ = 356038831104. Its totient is φ = 24509280000.

The previous prime is 101101109983. The next prime is 101101110037. The reversal of 101101110000 is 11101101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176817 + ... + 483183.

Almost surely, 2^101101110000 is an apocalyptic number.

101101110000 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 101101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019415552).

101101110000 is an abundant number, since it is smaller than the sum of its proper divisors (254937721104).

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

101101110000 is a wasteful number, since it uses less digits than its factorization.

101101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306409 (or 306388 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101110000 its reverse (11101101), we get a palindrome (101112211101).

The spelling of 101101110000 in words is "one hundred one billion, one hundred one million, one hundred ten thousand".