101110113300000 has 864 divisors, whose sum is σ = 387391138130304. Its totient is φ = 23022128640000.

The previous prime is 101110113299989. The next prime is 101110113300017. The reversal of 101110113300000 is 3311011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3866086924 + ... + 3866113076.

It is an arithmetic number, because the mean of its divisors is an integer number (448369372836).

Almost surely, 2^{101110113300000} is an apocalyptic number.

101110113300000 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 101110113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193695569065152).

101110113300000 is an abundant number, since it is smaller than the sum of its proper divisors (286281024830304).

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

101110113300000 is an equidigital number, since it uses as much as digits as its factorization.

101110113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26468 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101110113300000 its reverse (3311011101), we get a palindrome (101113424311101).

The spelling of 101110113300000 in words is "one hundred one trillion, one hundred ten billion, one hundred thirteen million, three hundred thousand".