10212012210000 has 400 divisors, whose sum is σ = 33955553294784. Its totient is φ = 2641867776000.

The previous prime is 10212012209989. The next prime is 10212012210007. The reversal of 10212012210000 is 1221021201.

It is a tau number, because it is divible by the number of its divisors (400).

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 (10212012210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385156744 + ... + 385183256.

Almost surely, 2^{10212012210000} is an apocalyptic number.

10212012210000 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 10212012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977776647392).

10212012210000 is an abundant number, since it is smaller than the sum of its proper divisors (23743541084784).

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

10212012210000 is a wasteful number, since it uses less digits than its factorization.

10212012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26928 (or 26907 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212012210000 its reverse (1221021201), we get a palindrome (10213233231201).

The spelling of 10212012210000 in words is "ten trillion, two hundred twelve billion, twelve million, two hundred ten thousand".