110121120202000 has 80 divisors (see below), whose sum is σ = 266750919585072. Its totient is φ = 43969366041600.

The previous prime is 110121120201997. The next prime is 110121120202013. The reversal of 110121120202000 is 202021121011.

It can be written as a sum of positive squares in 8 ways, for example, as 38153994779664 + 71967125422336 = 6176892^2 + 8483344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×110121120202000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48311997 + ... + 50539996.

Almost surely, 2^{110121120202000} is an apocalyptic number.

110121120202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110121120202000 is an abundant number, since it is smaller than the sum of its proper divisors (156629799383072).

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

110121120202000 is an equidigital number, since it uses as much as digits as its factorization.

110121120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98852573 (or 98852557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110121120202000 its reverse (202021121011), we get a palindrome (110323141323011).

The spelling of 110121120202000 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, two hundred two thousand".