1012000100193 has 24 divisors (see below), whose sum is σ = 1532255044320. Its totient is φ = 642904194240.

The previous prime is 1012000100171. The next prime is 1012000100231. The reversal of 1012000100193 is 3910010002101.

It is not a de Polignac number, because 1012000100193 - 2¹⁰ = 1012000099169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012000100593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31874223 + ... + 31905956.

It is an arithmetic number, because the mean of its divisors is an integer number (63843960180).

Almost surely, 2^{1012000100193} is an apocalyptic number.

It is an amenable number.

1012000100193 is a deficient number, since it is larger than the sum of its proper divisors (520254944127).

1012000100193 is a wasteful number, since it uses less digits than its factorization.

1012000100193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63780269 (or 63780266 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1012000100193 its reverse (3910010002101), we get a palindrome (4922010102294).

The spelling of 1012000100193 in words is "one trillion, twelve billion, one hundred thousand, one hundred ninety-three".