12131012101 has 32 divisors (see below), whose sum is σ = 13703782400. Its totient is φ = 10662762240.

The previous prime is 12131012087. The next prime is 12131012129. The reversal of 12131012101 is 10121013121.

It is a happy number.

It is not a de Polignac number, because 12131012101 - 2¹³ = 12131003909 is a prime.

It is a super-2 number, since 2×12131012101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6895660 + ... + 6897418.

It is an arithmetic number, because the mean of its divisors is an integer number (428243200).

Almost surely, 2^12131012101 is an apocalyptic number.

It is an amenable number.

12131012101 is a deficient number, since it is larger than the sum of its proper divisors (1572770299).

12131012101 is a wasteful number, since it uses less digits than its factorization.

12131012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12131012101 its reverse (10121013121), we get a palindrome (22252025222).

The spelling of 12131012101 in words is "twelve billion, one hundred thirty-one million, twelve thousand, one hundred one".