110101123123320 has 256 divisors, whose sum is σ = 388555491456000. Its totient is φ = 24431272427520.

The previous prime is 110101123123307. The next prime is 110101123123363. The reversal of 110101123123320 is 23321321101011.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 10010035 + ... + 17899805.

It is an arithmetic number, because the mean of its divisors is an integer number (1517794888500).

Almost surely, 2^{110101123123320} is an apocalyptic number.

110101123123320 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 110101123123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194277745728000).

110101123123320 is an abundant number, since it is smaller than the sum of its proper divisors (278454368332680).

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

110101123123320 is a wasteful number, since it uses less digits than its factorization.

110101123123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890278 (or 7890274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110101123123320 its reverse (23321321101011), we get a palindrome (133422444224331).

The spelling of 110101123123320 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty".