10011221122123 has 16 divisors (see below), whose sum is σ = 10846198702080. Its totient is φ = 9185515953696.

The previous prime is 10011221122061. The next prime is 10011221122151. The reversal of 10011221122123 is 32122112211001.

It is a cyclic number.

It is not a de Polignac number, because 10011221122123 - 2²⁵ = 10011187567691 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011221122123.

It is not an unprimeable number, because it can be changed into a prime (10011221122423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122575086 + ... + 122656732.

It is an arithmetic number, because the mean of its divisors is an integer number (677887418880).

Almost surely, 2^{10011221122123} is an apocalyptic number.

10011221122123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10011221122123 is a deficient number, since it is larger than the sum of its proper divisors (834977579957).

10011221122123 is a wasteful number, since it uses less digits than its factorization.

10011221122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138306.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10011221122123 its reverse (32122112211001), we get a palindrome (42133333333124).

The spelling of 10011221122123 in words is "ten trillion, eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-three".