110000100220020 has 36 divisors (see below), whose sum is σ = 333666970667940. Its totient is φ = 29333360058624.

The previous prime is 110000100219949. The next prime is 110000100220027. The reversal of 110000100220020 is 20022001000011.

It can be written as a sum of positive squares in 2 ways, for example, as 69993235510416 + 40006864709604 = 8366196^2 + 6325098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000100219984 and 110000100220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000100220027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305555833765 + ... + 305555834124.

Almost surely, 2^{110000100220020} is an apocalyptic number.

110000100220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000100220020 is an abundant number, since it is smaller than the sum of its proper divisors (223666870447920).

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

110000100220020 is a wasteful number, since it uses less digits than its factorization.

110000100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611111667904 (or 611111667899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110000100220020 its reverse (20022001000011), we get a palindrome (130022101220031).

The spelling of 110000100220020 in words is "one hundred ten trillion, one hundred million, two hundred twenty thousand, twenty".