212101020101212 has 288 divisors, whose sum is σ = 422074836106560. Its totient is φ = 93159677952000.

The previous prime is 212101020101207. The next prime is 212101020101221.

212101020101212 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 95 ways as a sum of consecutive naturals, for example, 228311108364 + ... + 228311109292.

It is an arithmetic number, because the mean of its divisors is an integer number (1465537625370).

Almost surely, 2^{212101020101212} is an apocalyptic number.

212101020101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212101020101212 is a deficient number, since it is larger than the sum of its proper divisors (209973816005348).

212101020101212 is a wasteful number, since it uses less digits than its factorization.

212101020101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

It can be divided in two parts, 2121010 and 20101212, that added together give a palindrome (22222222).

The spelling of 212101020101212 in words is "two hundred twelve trillion, one hundred one billion, twenty million, one hundred one thousand, two hundred twelve".