10000220210113 has 12 divisors (see below), whose sum is σ = 11633026360320. Its totient is φ = 8571531012072.

The previous prime is 10000220210059. The next prime is 10000220210119. The reversal of 10000220210113 is 31101202200001.

It is not a de Polignac number, because 10000220210113 - 2⁴¹ = 7801196954561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000220210093 and 10000220210102.

It is not an unprimeable number, because it can be changed into a prime (10000220210119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4152120 + ... + 6102502.

It is an arithmetic number, because the mean of its divisors is an integer number (969418863360).

Almost surely, 2^{10000220210113} is an apocalyptic number.

It is an amenable number.

10000220210113 is a deficient number, since it is larger than the sum of its proper divisors (1632806150207).

10000220210113 is a wasteful number, since it uses less digits than its factorization.

10000220210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055036 (or 2055029 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000220210113 its reverse (31101202200001), we get a palindrome (41101422410114).

The spelling of 10000220210113 in words is "ten trillion, two hundred twenty million, two hundred ten thousand, one hundred thirteen".