11211211112101 has 64 divisors (see below), whose sum is σ = 15131871014400. Its totient is φ = 8021748556800.

The previous prime is 11211211112099. The next prime is 11211211112203. The reversal of 11211211112101 is 10121111211211.

It is not a de Polignac number, because 11211211112101 - 2¹ = 11211211112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211211110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177955315 + ... + 178018303.

It is an arithmetic number, because the mean of its divisors is an integer number (236435484600).

Almost surely, 2^{11211211112101} is an apocalyptic number.

11211211112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211211112101 is a deficient number, since it is larger than the sum of its proper divisors (3920659902299).

11211211112101 is a wasteful number, since it uses less digits than its factorization.

11211211112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63950.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11211211112101 its reverse (10121111211211), we get a palindrome (21332322323312).

It can be divided in two parts, 11 and 211211112101, that added together give a palindrome (211211112112).

The spelling of 11211211112101 in words is "eleven trillion, two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred one".