12121000101210 has 1536 divisors, whose sum is σ = 41942048956416. Its totient is φ = 2173796352000.

The previous prime is 12121000101149. The next prime is 12121000101211. The reversal of 12121000101210 is 1210100012121.

12121000101210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12121000101211) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 57445498005 + ... + 57445498215.

It is an arithmetic number, because the mean of its divisors is an integer number (27306021456).

Almost surely, 2^{12121000101210} is an apocalyptic number.

12121000101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121000101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971024478208).

12121000101210 is an abundant number, since it is smaller than the sum of its proper divisors (29821048855206).

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

12121000101210 is a wasteful number, since it uses less digits than its factorization.

12121000101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

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

Adding to 12121000101210 its reverse (1210100012121), we get a palindrome (13331100113331).

The spelling of 12121000101210 in words is "twelve trillion, one hundred twenty-one billion, one hundred one thousand, two hundred ten".