100312144301241 has 12 divisors (see below), whose sum is σ = 145222397022768. Its totient is φ = 66723804032184.

The previous prime is 100312144301221. The next prime is 100312144301371. The reversal of 100312144301241 is 142103441213001.

It is a happy number.

100312144301241 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 214 + 430 + 12 + 4 + 1 = 666.

It is not a de Polignac number, because 100312144301241 - 2⁷ = 100312144301113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312144301221) 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 11 ways as a sum of consecutive naturals, for example, 12579898735 + ... + 12579906708.

It is an arithmetic number, because the mean of its divisors is an integer number (12101866418564).

Almost surely, 2^{100312144301241} is an apocalyptic number.

It is an amenable number.

100312144301241 is a deficient number, since it is larger than the sum of its proper divisors (44910252721527).

100312144301241 is a wasteful number, since it uses less digits than its factorization.

100312144301241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159805892 (or 25159805889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 100312144301241 its reverse (142103441213001), we get a palindrome (242415585514242).

The spelling of 100312144301241 in words is "one hundred trillion, three hundred twelve billion, one hundred forty-four million, three hundred one thousand, two hundred forty-one".