110020110100000 has 288 divisors, whose sum is σ = 280867001642640. Its totient is φ = 42369761280000.

The previous prime is 110020110099989. The next prime is 110020110100007. The reversal of 110020110100000 is 1011020011.

It can be written as a sum of positive squares in 24 ways, for example, as 105840227985424 + 4179882114576 = 10287868^2 + 2044476^2 .

It is a super-2 number, since 2×110020110100000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110020110100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023646264 + ... + 1023753736.

Almost surely, 2^{110020110100000} is an apocalyptic number.

110020110100000 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 110020110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140433500821320).

110020110100000 is an abundant number, since it is smaller than the sum of its proper divisors (170846891542640).

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

110020110100000 is an equidigital number, since it uses as much as digits as its factorization.

110020110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107890 (or 107862 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110020110100000 its reverse (1011020011), we get a palindrome (110021121120011).

The spelling of 110020110100000 in words is "one hundred ten trillion, twenty billion, one hundred ten million, one hundred thousand".