12100121001210 has 192 divisors, whose sum is σ = 33840559291392. Its totient is φ = 2762014464000.

The previous prime is 12100121001191. The next prime is 12100121001233. The reversal of 12100121001210 is 1210012100121.

12100121001210 is a modest number, since divided by 121001210 gives 1210 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2710530 + ... + 5616690.

It is an arithmetic number, because the mean of its divisors is an integer number (176252912976).

Almost surely, 2^{12100121001210} is an apocalyptic number.

12100121001210 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 12100121001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920279645696).

12100121001210 is an abundant number, since it is smaller than the sum of its proper divisors (21740438290182).

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

12100121001210 is a wasteful number, since it uses less digits than its factorization.

12100121001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906261 (or 2906250 counting only the distinct ones).

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

Adding to 12100121001210 its reverse (1210012100121), we get a palindrome (13310133101331).

The spelling of 12100121001210 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, one thousand, two hundred ten".