12100211145 has 72 divisors (see below), whose sum is σ = 23151904776. Its totient is φ = 5841792000.

The previous prime is 12100211143. The next prime is 12100211219. The reversal of 12100211145 is 54111200121.

It can be written as a sum of positive squares in 4 ways, for example, as 5024541456 + 7075669689 = 70884^2 + 84117^2 .

It is not a de Polignac number, because 12100211145 - 2¹ = 12100211143 is a prime.

It is a super-2 number, since 2×12100211145² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12100211143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1307635 + ... + 1316855.

It is an arithmetic number, because the mean of its divisors is an integer number (321554233).

Almost surely, 2^12100211145 is an apocalyptic number.

12100211145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12100211145 is a deficient number, since it is larger than the sum of its proper divisors (11051693631).

12100211145 is a wasteful number, since it uses less digits than its factorization.

12100211145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12100211145 its reverse (54111200121), we get a palindrome (66211411266).

The spelling of 12100211145 in words is "twelve billion, one hundred million, two hundred eleven thousand, one hundred forty-five".