10222200122013 has 16 divisors (see below), whose sum is σ = 16520727470400. Its totient is φ = 6195272801040.

The previous prime is 10222200121951. The next prime is 10222200122059. The reversal of 10222200122013 is 31022100222201.

10222200122013 is a `hidden beast` number, since 10 + 222 + 200 + 1 + 220 + 13 = 666.

It is not a de Polignac number, because 10222200122013 - 2¹⁰ = 10222200120989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222200122063) 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, 17209090818 + ... + 17209091411.

It is an arithmetic number, because the mean of its divisors is an integer number (1032545466900).

Almost surely, 2^{10222200122013} is an apocalyptic number.

It is an amenable number.

10222200122013 is a deficient number, since it is larger than the sum of its proper divisors (6298527348387).

10222200122013 is a wasteful number, since it uses less digits than its factorization.

10222200122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34418182249 (or 34418182243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10222200122013 its reverse (31022100222201), we get a palindrome (41244300344214).

The spelling of 10222200122013 in words is "ten trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, thirteen".