121201010000 has 600 divisors, whose sum is σ = 360352650240. Its totient is φ = 39312000000.

The previous prime is 121201009991. The next prime is 121201010003. The reversal of 121201010000 is 10102121.

121201010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 121201010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201010003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1200009950 + ... + 1200010050.

Almost surely, 2^121201010000 is an apocalyptic number.

121201010000 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 121201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180176325120).

121201010000 is an abundant number, since it is smaller than the sum of its proper divisors (239151640240).

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

121201010000 is a wasteful number, since it uses less digits than its factorization.

121201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121201010000 its reverse (10102121), we get a palindrome (121211112121).

The spelling of 121201010000 in words is "one hundred twenty-one billion, two hundred one million, ten thousand".