10111011211101 has 32 divisors (see below), whose sum is σ = 14624725147648. Its totient is φ = 6199326342720.

The previous prime is 10111011211073. The next prime is 10111011211111. The reversal of 10111011211101 is 10111211011101.

It is not a de Polignac number, because 10111011211101 - 2⁹ = 10111011210589 is a prime.

It is a super-2 number, since 2×10111011211101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34019401 + ... + 34315326.

It is an arithmetic number, because the mean of its divisors is an integer number (457022660864).

Almost surely, 2^{10111011211101} is an apocalyptic number.

It is an amenable number.

10111011211101 is a deficient number, since it is larger than the sum of its proper divisors (4513713936547).

10111011211101 is a wasteful number, since it uses less digits than its factorization.

10111011211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68334841.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111011211101 its reverse (10111211011101), we get a palindrome (20222222222202).

The spelling of 10111011211101 in words is "ten trillion, one hundred eleven billion, eleven million, two hundred eleven thousand, one hundred one".