10011000010101 has 32 divisors (see below), whose sum is σ = 13457263712256. Its totient is φ = 6619586688000.

The previous prime is 10011000010093. The next prime is 10011000010127. The reversal of 10011000010101 is 10101000011001.

It is not a de Polignac number, because 10011000010101 - 2³ = 10011000010093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000010171) 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, 323849836 + ... + 323880746.

It is an arithmetic number, because the mean of its divisors is an integer number (420539491008).

Almost surely, 2^{10011000010101} is an apocalyptic number.

It is an amenable number.

10011000010101 is a deficient number, since it is larger than the sum of its proper divisors (3446263702155).

10011000010101 is a wasteful number, since it uses less digits than its factorization.

10011000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32653.

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

Adding to 10011000010101 its reverse (10101000011001), we get a palindrome (20112000021102).

The spelling of 10011000010101 in words is "ten trillion, eleven billion, ten thousand, one hundred one".