10001102100193 has 8 divisors (see below), whose sum is σ = 10624058244800. Its totient is φ = 9387804190608.

The previous prime is 10001102100151. The next prime is 10001102100221. The reversal of 10001102100193 is 39100120110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001102100193 - 2¹³ = 10001102092001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001102100193.

It is not an unprimeable number, because it can be changed into a prime (10001102103193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414556621 + ... + 2414560762.

It is an arithmetic number, because the mean of its divisors is an integer number (1328007280600).

Almost surely, 2^{10001102100193} is an apocalyptic number.

It is an amenable number.

10001102100193 is a deficient number, since it is larger than the sum of its proper divisors (622956144607).

10001102100193 is a wasteful number, since it uses less digits than its factorization.

10001102100193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829117511.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10001102100193 its reverse (39100120110001), we get a palindrome (49101222210194).

The spelling of 10001102100193 in words is "ten trillion, one billion, one hundred two million, one hundred thousand, one hundred ninety-three".