10132102123 has 24 divisors (see below), whose sum is σ = 12011768640. Its totient is φ = 8471979360.

The previous prime is 10132102111. The next prime is 10132102129. The reversal of 10132102123 is 32120123101.

It is not a de Polignac number, because 10132102123 - 2¹⁷ = 10131971051 is a prime.

It is a super-2 number, since 2×10132102123² (a number of 21 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 = 10132102097 and 10132102106.

It is not an unprimeable number, because it can be changed into a prime (10132102129) 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 23 ways as a sum of consecutive naturals, for example, 516468 + ... + 535726.

It is an arithmetic number, because the mean of its divisors is an integer number (500490360).

Almost surely, 2^10132102123 is an apocalyptic number.

10132102123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10132102123 is a deficient number, since it is larger than the sum of its proper divisors (1879666517).

10132102123 is a wasteful number, since it uses less digits than its factorization.

10132102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19566 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132102123 its reverse (32120123101), we get a palindrome (42252225224).

The spelling of 10132102123 in words is "ten billion, one hundred thirty-two million, one hundred two thousand, one hundred twenty-three".