212101021202112 has 280 divisors, whose sum is σ = 725667395296800. Its totient is φ = 60000287846400.

The previous prime is 212101021202107. The next prime is 212101021202117. The reversal of 212101021202112 is 211202120101212.

212101021202112 is a `hidden beast` number, since 21 + 210 + 10 + 212 + 0 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212101021202107) and next prime (212101021202117).

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

It is not an unprimeable number, because it can be changed into a prime (212101021202117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25270237 + ... + 32600412.

Almost surely, 2^{212101021202112} is an apocalyptic number.

It is an amenable number.

212101021202112 is an abundant number, since it is smaller than the sum of its proper divisors (513566374094688).

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

212101021202112 is a wasteful number, since it uses less digits than its factorization.

212101021202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57870781 (or 57870762 counting only the distinct ones).

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

Adding to 212101021202112 its reverse (211202120101212), we get a palindrome (423303141303324).

The spelling of 212101021202112 in words is "two hundred twelve trillion, one hundred one billion, twenty-one million, two hundred two thousand, one hundred twelve".