10001100506101 has 8 divisors (see below), whose sum is σ = 10468851888384. Its totient is φ = 9536092534320.

The previous prime is 10001100506083. The next prime is 10001100506171. The reversal of 10001100506101 is 10160500110001.

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 10001100506101 - 2⁹ = 10001100505589 is a prime.

It is a super-2 number, since 2×10001100506101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100506171) 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, 685845165 + ... + 685859746.

It is an arithmetic number, because the mean of its divisors is an integer number (1308606486048).

Almost surely, 2^{10001100506101} is an apocalyptic number.

It is an amenable number.

10001100506101 is a deficient number, since it is larger than the sum of its proper divisors (467751382283).

10001100506101 is a wasteful number, since it uses less digits than its factorization.

10001100506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371705251.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10001100506101 its reverse (10160500110001), we get a palindrome (20161600616102).

The spelling of 10001100506101 in words is "ten trillion, one billion, one hundred million, five hundred six thousand, one hundred one".