101124111123 has 64 divisors (see below), whose sum is σ = 173087308800. Its totient is φ = 57154636800.

The previous prime is 101124111089. The next prime is 101124111133. The reversal of 101124111123 is 321111421101.

It is not a de Polignac number, because 101124111123 - 2¹⁴ = 101124094739 is a prime.

It is a super-2 number, since 2×101124111123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101124111096 and 101124111105.

It is not an unprimeable number, because it can be changed into a prime (101124111133) 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 63 ways as a sum of consecutive naturals, for example, 24489123 + ... + 24493251.

It is an arithmetic number, because the mean of its divisors is an integer number (2704489200).

Almost surely, 2^101124111123 is an apocalyptic number.

101124111123 is a deficient number, since it is larger than the sum of its proper divisors (71963197677).

101124111123 is a wasteful number, since it uses less digits than its factorization.

101124111123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101124111123 its reverse (321111421101), we get a palindrome (422235532224).

The spelling of 101124111123 in words is "one hundred one billion, one hundred twenty-four million, one hundred eleven thousand, one hundred twenty-three".