101112110220000 has 480 divisors, whose sum is σ = 367952252088960. Its totient is φ = 24096559360000.

The previous prime is 101112110219971. The next prime is 101112110220053. The reversal of 101112110220000 is 22011211101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37641694 + ... + 40238306.

It is an arithmetic number, because the mean of its divisors is an integer number (766567191852).

Almost surely, 2^{101112110220000} is an apocalyptic number.

101112110220000 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 101112110220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183976126044480).

101112110220000 is an abundant number, since it is smaller than the sum of its proper divisors (266840141868960).

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

101112110220000 is a wasteful number, since it uses less digits than its factorization.

101112110220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596716 (or 2596693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112110220000 its reverse (22011211101), we get a palindrome (101134121431101).

The spelling of 101112110220000 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, two hundred twenty thousand".