11211112101 has 16 divisors (see below), whose sum is σ = 17405933184. Its totient is φ = 6285474624.

The previous prime is 11211112097. The next prime is 11211112139. The reversal of 11211112101 is 10121111211.

It is not a de Polignac number, because 11211112101 - 2² = 11211112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211112301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035326 + ... + 5037551.

It is an arithmetic number, because the mean of its divisors is an integer number (1087870824).

Almost surely, 2^11211112101 is an apocalyptic number.

It is an amenable number.

11211112101 is a deficient number, since it is larger than the sum of its proper divisors (6194821083).

11211112101 is a wasteful number, since it uses less digits than its factorization.

11211112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072940.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211112101 its reverse (10121111211), we get a palindrome (21332223312).

It can be divided in two parts, 1121111210 and 1, that added together give a palindrome (1121111211).

The spelling of 11211112101 in words is "eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred one".