10001005501061 has 32 divisors (see below), whose sum is σ = 10340644204800. Its totient is φ = 9669247409664.

The previous prime is 10001005501051. The next prime is 10001005501073. The reversal of 10001005501061 is 16010550010001.

It is not a de Polignac number, because 10001005501061 - 2¹⁴ = 10001005484677 is a prime.

It is a super-2 number, since 2×10001005501061² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001005501021) 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 31 ways as a sum of consecutive naturals, for example, 328241750 + ... + 328272216.

It is an arithmetic number, because the mean of its divisors is an integer number (323145131400).

Almost surely, 2^{10001005501061} is an apocalyptic number.

It is an amenable number.

10001005501061 is a deficient number, since it is larger than the sum of its proper divisors (339638703739).

10001005501061 is a wasteful number, since it uses less digits than its factorization.

10001005501061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10001005501061 its reverse (16010550010001), we get a palindrome (26011555511062).

The spelling of 10001005501061 in words is "ten trillion, one billion, five million, five hundred one thousand, sixty-one".