101300123001 has 24 divisors (see below), whose sum is σ = 171402066144. Its totient is φ = 52623439680.

The previous prime is 101300122997. The next prime is 101300123003. The reversal of 101300123001 is 100321003101.

It is not a de Polignac number, because 101300123001 - 2² = 101300122997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101300123003) 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, 31321860 + ... + 31325093.

It is an arithmetic number, because the mean of its divisors is an integer number (7141752756).

Almost surely, 2^101300123001 is an apocalyptic number.

101300123001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101300123001 is a deficient number, since it is larger than the sum of its proper divisors (70101943143).

101300123001 is a wasteful number, since it uses less digits than its factorization.

101300123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62646981 (or 62646974 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101300123001 its reverse (100321003101), we get a palindrome (201621126102).

The spelling of 101300123001 in words is "one hundred one billion, three hundred million, one hundred twenty-three thousand, one".