10121220213 has 24 divisors (see below), whose sum is σ = 14724531360. Its totient is φ = 6180857280.

The previous prime is 10121220149. The next prime is 10121220233. The reversal of 10121220213 is 31202212101.

It is not a de Polignac number, because 10121220213 - 2⁶ = 10121220149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121220192 and 10121220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121220233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9778 + ... + 142611.

It is an arithmetic number, because the mean of its divisors is an integer number (613522140).

Almost surely, 2^10121220213 is an apocalyptic number.

10121220213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10121220213 is a deficient number, since it is larger than the sum of its proper divisors (4603311147).

10121220213 is a wasteful number, since it uses less digits than its factorization.

10121220213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152549 (or 152536 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10121220213 its reverse (31202212101), we get a palindrome (41323432314).

The spelling of 10121220213 in words is "ten billion, one hundred twenty-one million, two hundred twenty thousand, two hundred thirteen".