10011111301123 has 16 divisors (see below), whose sum is σ = 10279534381056. Its totient is φ = 9745021601280.

The previous prime is 10011111301117. The next prime is 10011111301133. The reversal of 10011111301123 is 32110311111001.

It is a cyclic number.

It is not a de Polignac number, because 10011111301123 - 2³³ = 10002521366531 is a prime.

It is a super-2 number, since 2×10011111301123² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011111301097 and 10011111301106.

It is not an unprimeable number, because it can be changed into a prime (10011111301133) 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 15 ways as a sum of consecutive naturals, for example, 38613040 + ... + 38871442.

It is an arithmetic number, because the mean of its divisors is an integer number (642470898816).

Almost surely, 2^{10011111301123} is an apocalyptic number.

10011111301123 is a deficient number, since it is larger than the sum of its proper divisors (268423079933).

10011111301123 is a wasteful number, since it uses less digits than its factorization.

10011111301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262914.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10011111301123 its reverse (32110311111001), we get a palindrome (42121422412124).

The spelling of 10011111301123 in words is "ten trillion, eleven billion, one hundred eleven million, three hundred one thousand, one hundred twenty-three".