10001001105051 has 16 divisors (see below), whose sum is σ = 14588832647808. Its totient is φ = 6043745312000.

The previous prime is 10001001104981. The next prime is 10001001105079. The reversal of 10001001105051 is 15050110010001.

It is not a de Polignac number, because 10001001105051 - 2⁷ = 10001001104923 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001001105051.

It is not an unprimeable number, because it can be changed into a prime (10001001105091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436675350 + ... + 436698251.

It is an arithmetic number, because the mean of its divisors is an integer number (911802040488).

Almost surely, 2^{10001001105051} is an apocalyptic number.

10001001105051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001001105051 is a deficient number, since it is larger than the sum of its proper divisors (4587831542757).

10001001105051 is a wasteful number, since it uses less digits than its factorization.

10001001105051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873373962.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10001001105051 its reverse (15050110010001), we get a palindrome (25051111115052).

The spelling of 10001001105051 in words is "ten trillion, one billion, one million, one hundred five thousand, fifty-one".