121121021010000 has 800 divisors, whose sum is σ = 441512545959936. Its totient is φ = 28337184000000.

The previous prime is 121121021009993. The next prime is 121121021010001. The reversal of 121121021010000 is 10120121121.

121121021010000 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 2×121121021010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121021010001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3754393870 + ... + 3754426130.

Almost surely, 2^{121121021010000} is an apocalyptic number.

121121021010000 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 121121021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220756272979968).

121121021010000 is an abundant number, since it is smaller than the sum of its proper divisors (320391524949936).

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

121121021010000 is a wasteful number, since it uses less digits than its factorization.

121121021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32701 (or 32680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121121021010000 its reverse (10120121121), we get a palindrome (121131141131121).

The spelling of 121121021010000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-one million, ten thousand".