110102111000220 has 384 divisors, whose sum is σ = 332533361664000. Its totient is φ = 27135515704320.

The previous prime is 110102111000207. The next prime is 110102111000261. The reversal of 110102111000220 is 22000111201011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110102111000196 and 110102111000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6055879530 + ... + 6055897710.

It is an arithmetic number, because the mean of its divisors is an integer number (865972296000).

Almost surely, 2^{110102111000220} is an apocalyptic number.

110102111000220 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 110102111000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166266680832000).

110102111000220 is an abundant number, since it is smaller than the sum of its proper divisors (222431250663780).

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

110102111000220 is a wasteful number, since it uses less digits than its factorization.

110102111000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18953 (or 18951 counting only the distinct ones).

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

Adding to 110102111000220 its reverse (22000111201011), we get a palindrome (132102222201231).

The spelling of 110102111000220 in words is "one hundred ten trillion, one hundred two billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.