10011332111123 has 48 divisors (see below), whose sum is σ = 12221060087808. Its totient is φ = 8166537288000.

The previous prime is 10011332111101. The next prime is 10011332111141. The reversal of 10011332111123 is 32111123311001.

It is not a de Polignac number, because 10011332111123 - 2⁶ = 10011332111059 is a prime.

It is a super-2 number, since 2×10011332111123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011332111095 and 10011332111104.

It is not an unprimeable number, because it can be changed into a prime (10011332110123) 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 47 ways as a sum of consecutive naturals, for example, 693730718 + ... + 693745148.

It is an arithmetic number, because the mean of its divisors is an integer number (254605418496).

Almost surely, 2^{10011332111123} is an apocalyptic number.

10011332111123 is a deficient number, since it is larger than the sum of its proper divisors (2209727976685).

10011332111123 is a wasteful number, since it uses less digits than its factorization.

10011332111123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024 (or 22017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10011332111123 its reverse (32111123311001), we get a palindrome (42122455422124).

The spelling of 10011332111123 in words is "ten trillion, eleven billion, three hundred thirty-two million, one hundred eleven thousand, one hundred twenty-three".