101111111221120 has 512 divisors, whose sum is σ = 324608207616000. Its totient is φ = 29085284597760.

The previous prime is 101111111221031. The next prime is 101111111221147. The reversal of 101111111221120 is 21122111111101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101111111221094 and 101111111221103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4227571402 + ... + 4227595318.

It is an arithmetic number, because the mean of its divisors is an integer number (634000405500).

Almost surely, 2^{101111111221120} is an apocalyptic number.

101111111221120 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 101111111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162304103808000).

101111111221120 is an abundant number, since it is smaller than the sum of its proper divisors (223497096394880).

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

101111111221120 is a wasteful number, since it uses less digits than its factorization.

101111111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30566 (or 30554 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111111221120 its reverse (21122111111101), we get a palindrome (122233222332221).

The spelling of 101111111221120 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".