100312140102241 has 2 divisors, whose sum is σ = 100312140102242. Its totient is φ = 100312140102240.

The previous prime is 100312140102217. The next prime is 100312140102277. The reversal of 100312140102241 is 142201041213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54051683440225 + 46260456662016 = 7351985^2 + 6801504^2 .

It is an emirp because it is prime and its reverse (142201041213001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100312140102241 - 2⁴³ = 91516047080033 is a prime.

It is not a weakly prime, because it can be changed into another prime (100312140102281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156070051120 + 50156070051121.

It is an arithmetic number, because the mean of its divisors is an integer number (50156070051121).

Almost surely, 2^{100312140102241} is an apocalyptic number.

It is an amenable number.

100312140102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312140102241 is an equidigital number, since it uses as much as digits as its factorization.

100312140102241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 100312140102241 its reverse (142201041213001), we get a palindrome (242513181315242).

The spelling of 100312140102241 in words is "one hundred trillion, three hundred twelve billion, one hundred forty million, one hundred two thousand, two hundred forty-one".