101003123011 has 16 divisors (see below), whose sum is σ = 116490398400. Its totient is φ = 85780896768.

The previous prime is 101003122949. The next prime is 101003123027. The reversal of 101003123011 is 110321300101.

It is not a de Polignac number, because 101003123011 - 2²⁹ = 100466252099 is a prime.

It is a super-2 number, since 2×101003123011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003122982 and 101003123000.

It is not an unprimeable number, because it can be changed into a prime (101003123071) 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, 2725575 + ... + 2762383.

It is an arithmetic number, because the mean of its divisors is an integer number (7280649900).

Almost surely, 2^101003123011 is an apocalyptic number.

101003123011 is a deficient number, since it is larger than the sum of its proper divisors (15487275389).

101003123011 is a wasteful number, since it uses less digits than its factorization.

101003123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40398.

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

Adding to 101003123011 its reverse (110321300101), we get a palindrome (211324423112).

The spelling of 101003123011 in words is "one hundred one billion, three million, one hundred twenty-three thousand, eleven".