10105010492441 has 2 divisors, whose sum is σ = 10105010492442. Its totient is φ = 10105010492440.

The previous prime is 10105010492407. The next prime is 10105010492503. The reversal of 10105010492441 is 14429401050101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10035565066816 + 69445425625 = 3167896^2 + 263525^2 .

It is an emirp because it is prime and its reverse (14429401050101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105010492441 is a prime.

It is a super-2 number, since 2×10105010492441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105010492398 and 10105010492407.

It is not a weakly prime, because it can be changed into another prime (10105010492041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052505246220 + 5052505246221.

It is an arithmetic number, because the mean of its divisors is an integer number (5052505246221).

Almost surely, 2^{10105010492441} is an apocalyptic number.

It is an amenable number.

10105010492441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105010492441 is an equidigital number, since it uses as much as digits as its factorization.

10105010492441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 10105010492441 in words is "ten trillion, one hundred five billion, ten million, four hundred ninety-two thousand, four hundred forty-one".