212010121010000 has 100 divisors (see below), whose sum is σ = 513340872262944. Its totient is φ = 84796916400000.

The previous prime is 212010121009997. The next prime is 212010121010021. The reversal of 212010121010000 is 10121010212.

212010121010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118824485 + ... + 120595515.

Almost surely, 2^{212010121010000} is an apocalyptic number.

212010121010000 is a gapful number since it is divisible by the number (20) 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 212010121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256670436131472).

212010121010000 is an abundant number, since it is smaller than the sum of its proper divisors (301330751252944).

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

212010121010000 is a wasteful number, since it uses less digits than its factorization.

212010121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783030 (or 1783009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212010121010000 its reverse (10121010212), we get a palindrome (212020242020212).

The spelling of 212010121010000 in words is "two hundred twelve trillion, ten billion, one hundred twenty-one million, ten thousand".