10145366350101 has 56 divisors (see below), whose sum is σ = 16419769303680. Its totient is φ = 6246422161056.

The previous prime is 10145366350001. The next prime is 10145366350117. The reversal of 10145366350101 is 10105366354101.

10145366350101 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 3 + 6 + 635 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 10145366350101 - 2⁷ = 10145366349973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145366350121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9946161 + ... + 10918646.

Almost surely, 2^{10145366350101} is an apocalyptic number.

It is an amenable number.

10145366350101 is a deficient number, since it is larger than the sum of its proper divisors (6274402953579).

10145366350101 is an equidigital number, since it uses as much as digits as its factorization.

10145366350101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20864877 (or 20864862 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 1014536 and 6350101, that added together give a palindrome (7364637).

The spelling of 10145366350101 in words is "ten trillion, one hundred forty-five billion, three hundred sixty-six million, three hundred fifty thousand, one hundred one".