110021010122000 has 40 divisors (see below), whose sum is σ = 266030802479832. Its totient is φ = 44008404048000.

The previous prime is 110021010121993. The next prime is 110021010122081. The reversal of 110021010122000 is 221010120011.

110021010122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13847448518656 + 96173561603344 = 3721216^2 + 9806812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27505250531 + ... + 27505254530.

Almost surely, 2^{110021010122000} is an apocalyptic number.

110021010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021010122000 is an abundant number, since it is smaller than the sum of its proper divisors (156009792357832).

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

110021010122000 is an equidigital number, since it uses as much as digits as its factorization.

110021010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55010505084 (or 55010505068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110021010122000 its reverse (221010120011), we get a palindrome (110242020242011).

The spelling of 110021010122000 in words is "one hundred ten trillion, twenty-one billion, ten million, one hundred twenty-two thousand".