10001010100011 has 48 divisors (see below), whose sum is σ = 15672142886400. Its totient is φ = 5655847704192.

The previous prime is 10001010099943. The next prime is 10001010100033. The reversal of 10001010100011 is 11000101010001.

It is not a de Polignac number, because 10001010100011 - 2¹⁸ = 10001009837867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001010104011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24156610 + ... + 24567128.

It is an arithmetic number, because the mean of its divisors is an integer number (326502976800).

Almost surely, 2^{10001010100011} is an apocalyptic number.

10001010100011 is a deficient number, since it is larger than the sum of its proper divisors (5671132786389).

10001010100011 is a wasteful number, since it uses less digits than its factorization.

10001010100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412248 (or 412241 counting only the distinct ones).

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

Adding to 10001010100011 its reverse (11000101010001), we get a palindrome (21001111110012).

The spelling of 10001010100011 in words is "ten trillion, one billion, ten million, one hundred thousand, eleven".