212121010100113 has 8 divisors (see below), whose sum is σ = 212271987319808. Its totient is φ = 211970061037584.

The previous prime is 212121010100047. The next prime is 212121010100179. The reversal of 212121010100113 is 311001010121212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212121010100047) and next prime (212121010100179).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212121010100113 - 2²¹ = 212121008002961 is a prime.

It is a super-3 number, since 3×212121010100113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121010100213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8044495 + ... + 22112347.

It is an arithmetic number, because the mean of its divisors is an integer number (26533998414976).

Almost surely, 2^{212121010100113} is an apocalyptic number.

It is an amenable number.

212121010100113 is a deficient number, since it is larger than the sum of its proper divisors (150977219695).

212121010100113 is a wasteful number, since it uses less digits than its factorization.

212121010100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078583.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 212121010100113 its reverse (311001010121212), we get a palindrome (523122020221325).

The spelling of 212121010100113 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred thousand, one hundred thirteen".