101005132123 has 12 divisors (see below), whose sum is σ = 120228228120. Its totient is φ = 84562434432.

The previous prime is 101005132097. The next prime is 101005132159. The reversal of 101005132123 is 321231500101.

It is not a de Polignac number, because 101005132123 - 2⁹ = 101005131611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101005132123.

It is not an unprimeable number, because it can be changed into a prime (101005135123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23966838 + ... + 23971051.

It is an arithmetic number, because the mean of its divisors is an integer number (10019019010).

Almost surely, 2^101005132123 is an apocalyptic number.

101005132123 is a deficient number, since it is larger than the sum of its proper divisors (19223095997).

101005132123 is an equidigital number, since it uses as much as digits as its factorization.

101005132123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47937946 (or 47937939 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 101005132123 its reverse (321231500101), we get a palindrome (422236632224).

The spelling of 101005132123 in words is "one hundred one billion, five million, one hundred thirty-two thousand, one hundred twenty-three".