11211100120101 has 128 divisors (see below), whose sum is σ = 19216811851776. Its totient is φ = 5666316042240.

The previous prime is 11211100120093. The next prime is 11211100120117. The reversal of 11211100120101 is 10102100111211.

It is not a de Polignac number, because 11211100120101 - 2³ = 11211100120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211100120141) 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 127 ways as a sum of consecutive naturals, for example, 82259325 + ... + 82395501.

It is an arithmetic number, because the mean of its divisors is an integer number (150131342592).

Almost surely, 2^{11211100120101} is an apocalyptic number.

It is an amenable number.

11211100120101 is a deficient number, since it is larger than the sum of its proper divisors (8005711731675).

11211100120101 is a wasteful number, since it uses less digits than its factorization.

11211100120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136451.

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

Adding to 11211100120101 its reverse (10102100111211), we get a palindrome (21313200231312).

The spelling of 11211100120101 in words is "eleven trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, one hundred one".