10011001111101 has 12 divisors (see below), whose sum is σ = 14733171447228. Its totient is φ = 6548076198144.

The previous prime is 10011001111081. The next prime is 10011001111121. The reversal of 10011001111101 is 10111110011001.

It is an interprime number because it is at equal distance from previous prime (10011001111081) and next prime (10011001111121).

It can be written as a sum of positive squares in 2 ways, for example, as 8986361171076 + 1024639940025 = 2997726^2 + 1012245^2 .

It is not a de Polignac number, because 10011001111101 - 2⁷ = 10011001110973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001111121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10493711380 + ... + 10493712333.

It is an arithmetic number, because the mean of its divisors is an integer number (1227764287269).

Almost surely, 2^{10011001111101} is an apocalyptic number.

It is an amenable number.

10011001111101 is a deficient number, since it is larger than the sum of its proper divisors (4722170336127).

10011001111101 is a wasteful number, since it uses less digits than its factorization.

10011001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20987423772 (or 20987423769 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011001111101 its reverse (10111110011001), we get a palindrome (20122111122102).

The spelling of 10011001111101 in words is "ten trillion, eleven billion, one million, one hundred eleven thousand, one hundred one".