110220212020100 has 288 divisors, whose sum is σ = 295364981431296. Its totient is φ = 34765377292800.

The previous prime is 110220212020001. The next prime is 110220212020103. The reversal of 110220212020100 is 1020212022011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (110220212020103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13141788107 + ... + 13141796493.

It is an arithmetic number, because the mean of its divisors is an integer number (1025572852192).

Almost surely, 2^{110220212020100} is an apocalyptic number.

110220212020100 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 110220212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147682490715648).

110220212020100 is an abundant number, since it is smaller than the sum of its proper divisors (185144769411196).

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

110220212020100 is a wasteful number, since it uses less digits than its factorization.

110220212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110220212020100 its reverse (1020212022011), we get a palindrome (111240424042111).

It can be divided in two parts, 1102 and 20212020100, that added together give a palindrome (20212021202).

The spelling of 110220212020100 in words is "one hundred ten trillion, two hundred twenty billion, two hundred twelve million, twenty thousand, one hundred".