101110240000 has 720 divisors, whose sum is σ = 326424510720. Its totient is φ = 30320640000.

The previous prime is 101110239991. The next prime is 101110240003. The reversal of 101110240000 is 42011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101110240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357279859 + ... + 357280141.

It is an arithmetic number, because the mean of its divisors is an integer number (453367376).

Almost surely, 2^101110240000 is an apocalyptic number.

101110240000 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 101110240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163212255360).

101110240000 is an abundant number, since it is smaller than the sum of its proper divisors (225314270720).

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

101110240000 is an equidigital number, since it uses as much as digits as its factorization.

101110240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110240000 its reverse (42011101), we get a palindrome (101152251101).

The spelling of 101110240000 in words is "one hundred one billion, one hundred ten million, two hundred forty thousand".