10105000100527 has 2 divisors, whose sum is σ = 10105000100528. Its totient is φ = 10105000100526.

The previous prime is 10105000100471. The next prime is 10105000100551. The reversal of 10105000100527 is 72500100050101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105000100527 is a prime.

It is a super-2 number, since 2×10105000100527² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105000100498 and 10105000100507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105000100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052500050263 + 5052500050264.

It is an arithmetic number, because the mean of its divisors is an integer number (5052500050264).

Almost surely, 2^{10105000100527} is an apocalyptic number.

10105000100527 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105000100527 is an equidigital number, since it uses as much as digits as its factorization.

10105000100527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 22.

Adding to 10105000100527 its reverse (72500100050101), we get a palindrome (82605100150628).

The spelling of 10105000100527 in words is "ten trillion, one hundred five billion, one hundred thousand, five hundred twenty-seven".