101110111111080 has 320 divisors, whose sum is σ = 358719772910400. Its totient is φ = 25543601403264.

The previous prime is 101110111111069. The next prime is 101110111111081. The reversal of 101110111111080 is 80111111011101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101110111111081) 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, 19948279 + ... + 24498041.

It is an arithmetic number, because the mean of its divisors is an integer number (1120999290345).

Almost surely, 2^{101110111111080} is an apocalyptic number.

101110111111080 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 101110111111080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179359886455200).

101110111111080 is an abundant number, since it is smaller than the sum of its proper divisors (257609661799320).

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

101110111111080 is an equidigital number, since it uses as much as digits as its factorization.

101110111111080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549843 (or 4549792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 18.

Adding to 101110111111080 its reverse (80111111011101), we get a palindrome (181221222122181).

The spelling of 101110111111080 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, eighty".