212102121010112 has 224 divisors, whose sum is σ = 500933776896000. Its totient is φ = 88353658552320.

The previous prime is 212102121010103. The next prime is 212102121010121. The reversal of 212102121010112 is 211010121201212.

212102121010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212102121010103) and next prime (212102121010121).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12877589 + ... + 24290667.

It is an arithmetic number, because the mean of its divisors is an integer number (2236311504000).

Almost surely, 2^{212102121010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102121010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250466888448000).

212102121010112 is an abundant number, since it is smaller than the sum of its proper divisors (288831655885888).

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

212102121010112 is a wasteful number, since it uses less digits than its factorization.

212102121010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11413187 (or 11413177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212102121010112 its reverse (211010121201212), we get a palindrome (423112242211324).

The spelling of 212102121010112 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, ten thousand, one hundred twelve".