12100101010100 has 18 divisors (see below), whose sum is σ = 26257219192134. Its totient is φ = 4840040404000.

The previous prime is 12100101010097. The next prime is 12100101010139. The reversal of 12100101010100 is 101010100121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1169261592976 + 10930839417124 = 1081324^2 + 3306182^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 60500504951 + ... + 60500505150.

It is an arithmetic number, because the mean of its divisors is an integer number (1458734399563).

Almost surely, 2^{12100101010100} is an apocalyptic number.

12100101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100101010100 is an abundant number, since it is smaller than the sum of its proper divisors (14157118182034).

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

12100101010100 is a wasteful number, since it uses less digits than its factorization.

12100101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121001010115 (or 121001010108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12100101010100 its reverse (101010100121), we get a palindrome (12201111110221).

The spelling of 12100101010100 in words is "twelve trillion, one hundred billion, one hundred one million, ten thousand, one hundred".