211202121202112 has 224 divisors, whose sum is σ = 436756689266688. Its totient is φ = 101260108800000.

The previous prime is 211202121202097. The next prime is 211202121202129.

211202121202112 is nontrivially palindromic in base 10.

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, 20325480437 + ... + 20325490827.

It is an arithmetic number, because the mean of its divisors is an integer number (1949806648512).

Almost surely, 2^{211202121202112} 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 211202121202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218378344633344).

211202121202112 is an abundant number, since it is smaller than the sum of its proper divisors (225554568064576).

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

211202121202112 is a wasteful number, since it uses less digits than its factorization.

211202121202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11089 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 211202121202112 in words is "two hundred eleven trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred twelve".