100212121002213 has 64 divisors (see below), whose sum is σ = 171569124864000. Its totient is φ = 57134280026880.

The previous prime is 100212121002131. The next prime is 100212121002263. The reversal of 100212121002213 is 312200121212001.

It is not a de Polignac number, because 100212121002213 - 2²⁸ = 100211852566757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212121002263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5605638 + ... + 15226536.

It is an arithmetic number, because the mean of its divisors is an integer number (2680767576000).

Almost surely, 2^{100212121002213} is an apocalyptic number.

It is an amenable number.

100212121002213 is a deficient number, since it is larger than the sum of its proper divisors (71357003861787).

100212121002213 is a wasteful number, since it uses less digits than its factorization.

100212121002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622999 (or 9622993 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100212121002213 its reverse (312200121212001), we get a palindrome (412412242214214).

The spelling of 100212121002213 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, two hundred thirteen".