10122011220313 has 16 divisors (see below), whose sum is σ = 10215606804480. Its totient is φ = 10028917098000.

The previous prime is 10122011220271. The next prime is 10122011220317. The reversal of 10122011220313 is 31302211022101.

It is a cyclic number.

It is not a de Polignac number, because 10122011220313 - 2²⁹ = 10121474349401 is a prime.

It is a super-2 number, since 2×10122011220313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122011220317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49116538 + ... + 49322188.

It is an arithmetic number, because the mean of its divisors is an integer number (638475425280).

Almost surely, 2^{10122011220313} is an apocalyptic number.

It is an amenable number.

10122011220313 is a deficient number, since it is larger than the sum of its proper divisors (93595584167).

10122011220313 is a wasteful number, since it uses less digits than its factorization.

10122011220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206868.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10122011220313 its reverse (31302211022101), we get a palindrome (41424222242414).

The spelling of 10122011220313 in words is "ten trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand, three hundred thirteen".