100213012212112 has 20 divisors (see below), whose sum is σ = 195285038976540. Its totient is φ = 49816873121408.

The previous prime is 100213012212073. The next prime is 100213012212121. The reversal of 100213012212112 is 211212210312001.

It can be written as a sum of positive squares in 2 ways, for example, as 78124102598656 + 22088909613456 = 8838784^2 + 4699884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100213012212112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18102058687 + ... + 18102064222.

It is an arithmetic number, because the mean of its divisors is an integer number (9764251948827).

Almost surely, 2^{100213012212112} is an apocalyptic number.

It is an amenable number.

100213012212112 is a deficient number, since it is larger than the sum of its proper divisors (95072026764428).

100213012212112 is a wasteful number, since it uses less digits than its factorization.

100213012212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204123090 (or 36204123084 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100213012212112 its reverse (211212210312001), we get a palindrome (311425222524113).

The spelling of 100213012212112 in words is "one hundred trillion, two hundred thirteen billion, twelve million, two hundred twelve thousand, one hundred twelve".