10223112100113 has 18 divisors (see below), whose sum is σ = 16231185328722. Its totient is φ = 6195825514560.

The previous prime is 10223112100051. The next prime is 10223112100121. The reversal of 10223112100113 is 31100121132201.

10223112100113 is a `hidden beast` number, since 10 + 22 + 311 + 210 + 0 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5451211657089 + 4771900443024 = 2334783^2 + 2184468^2 .

It is not a de Polignac number, because 10223112100113 - 2⁹ = 10223112099601 is a prime.

It is a super-2 number, since 2×10223112100113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10223112100613) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4693806120 + ... + 4693808297.

Almost surely, 2^{10223112100113} is an apocalyptic number.

It is an amenable number.

10223112100113 is a deficient number, since it is larger than the sum of its proper divisors (6008073228609).

10223112100113 is a wasteful number, since it uses less digits than its factorization.

10223112100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387614445 (or 9387614431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10223112100113 its reverse (31100121132201), we get a palindrome (41323233232314).

The spelling of 10223112100113 in words is "ten trillion, two hundred twenty-three billion, one hundred twelve million, one hundred thousand, one hundred thirteen".