12000100210101 has 36 divisors (see below), whose sum is σ = 19007782910532. Its totient is φ = 7269837507072.

The previous prime is 12000100210099. The next prime is 12000100210121. The reversal of 12000100210101 is 10101200100021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 543059929476 + 11457040280625 = 736926^2 + 3384825^2 .

It is not a de Polignac number, because 12000100210101 - 2¹ = 12000100210099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000100210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46501546 + ... + 46758891.

It is an arithmetic number, because the mean of its divisors is an integer number (527993969737).

Almost surely, 2^{12000100210101} is an apocalyptic number.

It is an amenable number.

12000100210101 is a deficient number, since it is larger than the sum of its proper divisors (7007682700431).

12000100210101 is a wasteful number, since it uses less digits than its factorization.

12000100210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93260518 (or 93260486 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000100210101 its reverse (10101200100021), we get a palindrome (22101300310122).

The spelling of 12000100210101 in words is "twelve trillion, one hundred million, two hundred ten thousand, one hundred one".