10100003001123 has 24 divisors (see below), whose sum is σ = 15712638075840. Its totient is φ = 5753993913360.

The previous prime is 10100003001119. The next prime is 10100003001163. The reversal of 10100003001123 is 32110030000101.

It is not a de Polignac number, because 10100003001123 - 2² = 10100003001119 is a prime.

It is a super-2 number, since 2×10100003001123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100003001099 and 10100003001108.

It is not an unprimeable number, because it can be changed into a prime (10100003001163) 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, 103739113 + ... + 103836426.

It is an arithmetic number, because the mean of its divisors is an integer number (654693253160).

Almost surely, 2^{10100003001123} is an apocalyptic number.

10100003001123 is a deficient number, since it is larger than the sum of its proper divisors (5612635074717).

10100003001123 is a wasteful number, since it uses less digits than its factorization.

10100003001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207575887 (or 207575880 counting only the distinct ones).

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

Adding to 10100003001123 its reverse (32110030000101), we get a palindrome (42210033001224).

The spelling of 10100003001123 in words is "ten trillion, one hundred billion, three million, one thousand, one hundred twenty-three".