10121220111213 has 32 divisors (see below), whose sum is σ = 15904064563200. Its totient is φ = 6343552940400.

The previous prime is 10121220111209. The next prime is 10121220111221. The reversal of 10121220111213 is 31211102212101.

It is a happy number.

10121220111213 is a `hidden beast` number, since 1 + 0 + 121 + 220 + 111 + 213 = 666.

It is not a de Polignac number, because 10121220111213 - 2² = 10121220111209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121220111253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75236133 + ... + 75370538.

It is an arithmetic number, because the mean of its divisors is an integer number (497002017600).

Almost surely, 2^{10121220111213} is an apocalyptic number.

It is an amenable number.

10121220111213 is a deficient number, since it is larger than the sum of its proper divisors (5782844451987).

10121220111213 is a wasteful number, since it uses less digits than its factorization.

10121220111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150606830 (or 150606824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10121220111213 its reverse (31211102212101), we get a palindrome (41332322323314).

The spelling of 10121220111213 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, two hundred thirteen".