121000110122000 has 40 divisors (see below), whose sum is σ = 292578266279832. Its totient is φ = 48400044048000.

The previous prime is 121000110121999. The next prime is 121000110122033. The reversal of 121000110122000 is 221011000121.

121000110122000 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 605582788864 + 120394527333136 = 778192^2 + 10972444^2 .

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

It is a super-2 number, since 2×121000110122000² (a number of 29 digits) contains 22 as substring.

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, 30250025531 + ... + 30250029530.

Almost surely, 2^{121000110122000} is an apocalyptic number.

121000110122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000110122000 is an abundant number, since it is smaller than the sum of its proper divisors (171578156157832).

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

121000110122000 is an equidigital number, since it uses as much as digits as its factorization.

121000110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60500055084 (or 60500055068 counting only the distinct ones).

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

Adding to 121000110122000 its reverse (221011000121), we get a palindrome (121221121122121).

The spelling of 121000110122000 in words is "one hundred twenty-one trillion, one hundred ten million, one hundred twenty-two thousand".