101110350000 has 480 divisors, whose sum is σ = 359050019328. Its totient is φ = 24313600000.

The previous prime is 101110349987. The next prime is 101110350001. The reversal of 101110350000 is 53011101.

101110350000 is digitally balanced in base 7, 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 (12).

It is not an unprimeable number, because it can be changed into a prime (101110350001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384449869 + ... + 384450131.

Almost surely, 2^101110350000 is an apocalyptic number.

101110350000 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 101110350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179525009664).

101110350000 is an abundant number, since it is smaller than the sum of its proper divisors (257939669328).

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

101110350000 is a wasteful number, since it uses less digits than its factorization.

101110350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

Adding to 101110350000 its reverse (53011101), we get a palindrome (101163361101).

The spelling of 101110350000 in words is "one hundred one billion, one hundred ten million, three hundred fifty thousand".