101132132123 has 16 divisors (see below), whose sum is σ = 110833134720. Its totient is φ = 91516003200.

The previous prime is 101132132089. The next prime is 101132132141. The reversal of 101132132123 is 321231231101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101132132123 - 2¹⁶ = 101132066587 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101132132095 and 101132132104.

It is not an unprimeable number, because it can be changed into a prime (101132134123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7041836 + ... + 7056182.

It is an arithmetic number, because the mean of its divisors is an integer number (6927070920).

Almost surely, 2^101132132123 is an apocalyptic number.

101132132123 is a deficient number, since it is larger than the sum of its proper divisors (9701002597).

101132132123 is a wasteful number, since it uses less digits than its factorization.

101132132123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17258.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101132132123 its reverse (321231231101), we get a palindrome (422363363224).

The spelling of 101132132123 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty-three".