101011120112000 has 256 divisors, whose sum is σ = 288518644776960. Its totient is φ = 34451055360000.

The previous prime is 101011120111981. The next prime is 101011120112033. The reversal of 101011120112000 is 211021110101.

101011120112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19031045 + ... + 23752955.

It is an arithmetic number, because the mean of its divisors is an integer number (1127025956160).

Almost surely, 2^{101011120112000} is an apocalyptic number.

101011120112000 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 101011120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144259322388480).

101011120112000 is an abundant number, since it is smaller than the sum of its proper divisors (187507524664960).

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

101011120112000 is an equidigital number, since it uses as much as digits as its factorization.

101011120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722138 (or 4722116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011120112000 its reverse (211021110101), we get a palindrome (101222141222101).

The spelling of 101011120112000 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred twelve thousand".