10001000101011 has 8 divisors (see below), whose sum is σ = 14036491369920. Its totient is φ = 6316421116392.

The previous prime is 10001000101009. The next prime is 10001000101019. The reversal of 10001000101011 is 11010100010001.

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

It is not a de Polignac number, because 10001000101011 - 2¹ = 10001000101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001000101019) 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 7 ways as a sum of consecutive naturals, for example, 87728071005 + ... + 87728071118.

It is an arithmetic number, because the mean of its divisors is an integer number (1754561421240).

Almost surely, 2^{10001000101011} is an apocalyptic number.

10001000101011 is a deficient number, since it is larger than the sum of its proper divisors (4035491268909).

10001000101011 is a wasteful number, since it uses less digits than its factorization.

10001000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175456142145.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001000101011 its reverse (11010100010001), we get a palindrome (21011100111012).

The spelling of 10001000101011 in words is "ten trillion, one billion, one hundred one thousand, eleven".