10112121021123 has 96 divisors (see below), whose sum is σ = 16727984013312. Its totient is φ = 5826571027200.

The previous prime is 10112121021109. The next prime is 10112121021161. The reversal of 10112121021123 is 32112012121101.

It is a happy number.

10112121021123 is a `hidden beast` number, since 101 + 121 + 210 + 211 + 23 = 666.

It is not a de Polignac number, because 10112121021123 - 2⁶ = 10112121021059 is a prime.

It is a super-2 number, since 2×10112121021123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112121021096 and 10112121021105.

It is not an unprimeable number, because it can be changed into a prime (10112121021623) 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 95 ways as a sum of consecutive naturals, for example, 475921086 + ... + 475942332.

It is an arithmetic number, because the mean of its divisors is an integer number (174249833472).

Almost surely, 2^{10112121021123} is an apocalyptic number.

10112121021123 is a deficient number, since it is larger than the sum of its proper divisors (6615862992189).

10112121021123 is a wasteful number, since it uses less digits than its factorization.

10112121021123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22545 (or 22542 counting only the distinct ones).

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

Adding to 10112121021123 its reverse (32112012121101), we get a palindrome (42224133142224).

The spelling of 10112121021123 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-three".