100031123001101 has 16 divisors (see below), whose sum is σ = 102048409741824. Its totient is φ = 98034050870784.

The previous prime is 100031123000959. The next prime is 100031123001109. The reversal of 100031123001101 is 101100321130001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100031123001101 - 2¹⁸ = 100031122738957 is a prime.

It is a super-2 number, since 2×100031123001101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031123001109) 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, 220204535 + ... + 220658331.

It is an arithmetic number, because the mean of its divisors is an integer number (6378025608864).

Almost surely, 2^{100031123001101} is an apocalyptic number.

It is an amenable number.

100031123001101 is a deficient number, since it is larger than the sum of its proper divisors (2017286740723).

100031123001101 is a wasteful number, since it uses less digits than its factorization.

100031123001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476060.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100031123001101 its reverse (101100321130001), we get a palindrome (201131444131102).

The spelling of 100031123001101 in words is "one hundred trillion, thirty-one billion, one hundred twenty-three million, one thousand, one hundred one".