10000121212000 has 96 divisors (see below), whose sum is σ = 24585415414560. Its totient is φ = 3997587340800.

The previous prime is 10000121211991. The next prime is 10000121212061. The reversal of 10000121212000 is 21212100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739706 + ... + 7276294.

It is an arithmetic number, because the mean of its divisors is an integer number (256098077235).

Almost surely, 2^{10000121212000} is an apocalyptic number.

10000121212000 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 10000121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292707707280).

10000121212000 is an abundant number, since it is smaller than the sum of its proper divisors (14585294202560).

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

10000121212000 is a wasteful number, since it uses less digits than its factorization.

10000121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538241 (or 1538223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000121212000 its reverse (21212100001), we get a palindrome (10021333312001).

The spelling of 10000121212000 in words is "ten trillion, one hundred twenty-one million, two hundred twelve thousand".