10121221121213 has 8 divisors (see below), whose sum is σ = 10130920879200. Its totient is φ = 10111525530768.

The previous prime is 10121221121191. The next prime is 10121221121239. The reversal of 10121221121213 is 31212112212101.

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 10121221121213 - 2¹⁸ = 10121220859069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121221121513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3828503 + ... + 5907611.

It is an arithmetic number, because the mean of its divisors is an integer number (1266365109900).

Almost surely, 2^{10121221121213} is an apocalyptic number.

It is an amenable number.

10121221121213 is a deficient number, since it is larger than the sum of its proper divisors (9699757987).

10121221121213 is a wasteful number, since it uses less digits than its factorization.

10121221121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083771.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10121221121213 its reverse (31212112212101), we get a palindrome (41333333333314).

The spelling of 10121221121213 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred thirteen".