10001123123100 has 72 divisors (see below), whose sum is σ = 29027865774768. Its totient is φ = 2658552998400.

The previous prime is 10001123123087. The next prime is 10001123123107. The reversal of 10001123123100 is 132132110001.

It is a happy number.

It is a super-2 number, since 2×10001123123100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10001123123100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001123123107) 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 23 ways as a sum of consecutive naturals, for example, 52487041 + ... + 52677240.

Almost surely, 2^{10001123123100} is an apocalyptic number.

10001123123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001123123100 is an abundant number, since it is smaller than the sum of its proper divisors (19026742651668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001123123100 is a wasteful number, since it uses less digits than its factorization.

10001123123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105164615 (or 105164608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10001123123100 its reverse (132132110001), we get a palindrome (10133255233101).

The spelling of 10001123123100 in words is "ten trillion, one billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred".