10001111100101 has 32 divisors (see below), whose sum is σ = 10998160128000. Its totient is φ = 9019018008000.

The previous prime is 10001111100059. The next prime is 10001111100143. The reversal of 10001111100101 is 10100111110001.

It is an interprime number because it is at equal distance from previous prime (10001111100059) and next prime (10001111100143).

It is not a de Polignac number, because 10001111100101 - 2¹⁸ = 10001110837957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111106101) 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, 1269333680 + ... + 1269341558.

It is an arithmetic number, because the mean of its divisors is an integer number (343692504000).

Almost surely, 2^{10001111100101} is an apocalyptic number.

10001111100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111100101 is a deficient number, since it is larger than the sum of its proper divisors (997049027899).

10001111100101 is a wasteful number, since it uses less digits than its factorization.

10001111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001111100101 its reverse (10100111110001), we get a palindrome (20101222210102).

The spelling of 10001111100101 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, one hundred one".