101111120000 has 320 divisors, whose sum is σ = 277892920800. Its totient is φ = 36326400000.

The previous prime is 101111119999. The next prime is 101111120017. The reversal of 101111120000 is 21111101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101111120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78319355 + ... + 78320645.

Almost surely, 2^101111120000 is an apocalyptic number.

101111120000 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 101111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138946460400).

101111120000 is an abundant number, since it is smaller than the sum of its proper divisors (176781800800).

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

101111120000 is an equidigital number, since it uses as much as digits as its factorization.

101111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101111120000 its reverse (21111101), we get a palindrome (101132231101).

The spelling of 101111120000 in words is "one hundred one billion, one hundred eleven million, one hundred twenty thousand".