101110000120000 has 280 divisors, whose sum is σ = 253144601172320. Its totient is φ = 40053242880000.

The previous prime is 101110000119991. The next prime is 101110000120027. The reversal of 101110000120000 is 21000011101.

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 39 ways as a sum of consecutive naturals, for example, 11540915620 + ... + 11540924380.

Almost surely, 2^{101110000120000} is an apocalyptic number.

101110000120000 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 101110000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126572300586160).

101110000120000 is an abundant number, since it is smaller than the sum of its proper divisors (152034601052320).

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

101110000120000 is an equidigital number, since it uses as much as digits as its factorization.

101110000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101110000120000 its reverse (21000011101), we get a palindrome (101131000131101).

The spelling of 101110000120000 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty thousand".