101123310001 has 16 divisors (see below), whose sum is σ = 116654186880. Its totient is φ = 85863939840.

The previous prime is 101123309921. The next prime is 101123310011. The reversal of 101123310001 is 100013321101.

It is not a de Polignac number, because 101123310001 - 2³¹ = 98975826353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123310011) 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 15 ways as a sum of consecutive naturals, for example, 4667145 + ... + 4688761.

It is an arithmetic number, because the mean of its divisors is an integer number (7290886680).

Almost surely, 2^101123310001 is an apocalyptic number.

It is an amenable number.

101123310001 is a deficient number, since it is larger than the sum of its proper divisors (15530876879).

101123310001 is a wasteful number, since it uses less digits than its factorization.

101123310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27864.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101123310001 its reverse (100013321101), we get a palindrome (201136631102).

The spelling of 101123310001 in words is "one hundred one billion, one hundred twenty-three million, three hundred ten thousand, one".