212201012112102 has 96 divisors (see below), whose sum is σ = 499519446666240. Its totient is φ = 64716089780160.

The previous prime is 212201012112073. The next prime is 212201012112151. The reversal of 212201012112102 is 201211210102212.

212201012112102 is a `hidden beast` number, since 21 + 220 + 1 + 0 + 1 + 211 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14369277 + ... + 25117287.

It is an arithmetic number, because the mean of its divisors is an integer number (5203327569440).

Almost surely, 2^{212201012112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201012112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249759723333120).

212201012112102 is an abundant number, since it is smaller than the sum of its proper divisors (287318434554138).

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

212201012112102 is a wasteful number, since it uses less digits than its factorization.

212201012112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748778 (or 10748775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212201012112102 its reverse (201211210102212), we get a palindrome (413412222214314).

The spelling of 212201012112102 in words is "two hundred twelve trillion, two hundred one billion, twelve million, one hundred twelve thousand, one hundred two".