101010001000011 has 32 divisors (see below), whose sum is σ = 139782955421760. Its totient is φ = 64803858223104.

The previous prime is 101010000999979. The next prime is 101010001000133. The reversal of 101010001000011 is 110000100010101.

It is not a de Polignac number, because 101010001000011 - 2⁵ = 101010000999979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010001000211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286103085 + ... + 286455921.

It is an arithmetic number, because the mean of its divisors is an integer number (4368217356930).

Almost surely, 2^{101010001000011} is an apocalyptic number.

101010001000011 is a deficient number, since it is larger than the sum of its proper divisors (38772954421749).

101010001000011 is a wasteful number, since it uses less digits than its factorization.

101010001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363695.

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

Adding to 101010001000011 its reverse (110000100010101), we get a palindrome (211010101010112).

The spelling of 101010001000011 in words is "one hundred one trillion, ten billion, one million, eleven", and thus it is an aban number.