110021102021120 has 160 divisors (see below), whose sum is σ = 266929452421632. Its totient is φ = 43486998331392.

The previous prime is 110021102021111. The next prime is 110021102021143. The reversal of 110021102021120 is 21120201120011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 110021102021095 and 110021102021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121633244 + ... + 122534436.

Almost surely, 2^{110021102021120} is an apocalyptic number.

110021102021120 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 110021102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133464726210816).

110021102021120 is an abundant number, since it is smaller than the sum of its proper divisors (156908350400512).

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

110021102021120 is an equidigital number, since it uses as much as digits as its factorization.

110021102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901782 (or 901766 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110021102021120 its reverse (21120201120011), we get a palindrome (131141303141131).

The spelling of 110021102021120 in words is "one hundred ten trillion, twenty-one billion, one hundred two million, twenty-one thousand, one hundred twenty".