121011202001000 has 128 divisors (see below), whose sum is σ = 293127663628800. Its totient is φ = 46703914835200.

The previous prime is 121011202000921. The next prime is 121011202001021. The reversal of 121011202001000 is 100202110121.

121011202001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121011202001000² (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41719907 + ... + 44526093.

It is an arithmetic number, because the mean of its divisors is an integer number (2290059872100).

Almost surely, 2^{121011202001000} is an apocalyptic number.

121011202001000 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 121011202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146563831814400).

121011202001000 is an abundant number, since it is smaller than the sum of its proper divisors (172116461627800).

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

121011202001000 is a wasteful number, since it uses less digits than its factorization.

121011202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807724 (or 2807710 counting only the distinct ones).

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

Adding to 121011202001000 its reverse (100202110121), we get a palindrome (121111404111121).

The spelling of 121011202001000 in words is "one hundred twenty-one trillion, eleven billion, two hundred two million, one thousand".