121200102011000 has 128 divisors (see below), whose sum is σ = 286817754038400. Its totient is φ = 47931492787200.

The previous prime is 121200102010997. The next prime is 121200102011039. The reversal of 121200102011000 is 110201002121.

It is a congruent number.

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, 1284845837 + ... + 1284940163.

It is an arithmetic number, because the mean of its divisors is an integer number (2240763703425).

Almost surely, 2^{121200102011000} is an apocalyptic number.

121200102011000 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 121200102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143408877019200).

121200102011000 is an abundant number, since it is smaller than the sum of its proper divisors (165617652027400).

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

121200102011000 is a wasteful number, since it uses less digits than its factorization.

121200102011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108874 (or 108860 counting only the distinct ones).

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

Adding to 121200102011000 its reverse (110201002121), we get a palindrome (121310303013121).

The spelling of 121200102011000 in words is "one hundred twenty-one trillion, two hundred billion, one hundred two million, eleven thousand".