10241414101001 has 2 divisors, whose sum is σ = 10241414101002. Its totient is φ = 10241414101000.

The previous prime is 10241414100923. The next prime is 10241414101073. The reversal of 10241414101001 is 10010141414201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5343845928976 + 4897568172025 = 2311676^2 + 2213045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10241414101001 - 2¹⁰ = 10241414099977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10241414101601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5120707050500 + 5120707050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5120707050501).

Almost surely, 2^{10241414101001} is an apocalyptic number.

It is an amenable number.

10241414101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10241414101001 is an equidigital number, since it uses as much as digits as its factorization.

10241414101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10241414101001 its reverse (10010141414201), we get a palindrome (20251555515202).

The spelling of 10241414101001 in words is "ten trillion, two hundred forty-one billion, four hundred fourteen million, one hundred one thousand, one".