12121010100213 has 32 divisors (see below), whose sum is σ = 18569059200000. Its totient is φ = 6889198334976.

The previous prime is 12121010100179. The next prime is 12121010100259. The reversal of 12121010100213 is 31200101012121.

It is not a de Polignac number, because 12121010100213 - 2¹⁴ = 12121010083829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121010100192 and 12121010100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121010102213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23163538 + ... + 23681036.

It is an arithmetic number, because the mean of its divisors is an integer number (580283100000).

Almost surely, 2^{12121010100213} is an apocalyptic number.

It is an amenable number.

12121010100213 is a deficient number, since it is larger than the sum of its proper divisors (6448049099787).

12121010100213 is a wasteful number, since it uses less digits than its factorization.

12121010100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523481.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12121010100213 its reverse (31200101012121), we get a palindrome (43321111112334).

The spelling of 12121010100213 in words is "twelve trillion, one hundred twenty-one billion, ten million, one hundred thousand, two hundred thirteen".