211121200111101 has 64 divisors (see below), whose sum is σ = 323368963473408. Its totient is φ = 120019508759808.

The previous prime is 211121200111093. The next prime is 211121200111139. The reversal of 211121200111101 is 101111002121112.

It is not a de Polignac number, because 211121200111101 - 2³ = 211121200111093 is a prime.

It is a super-2 number, since 2×211121200111101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121200111141) 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 63 ways as a sum of consecutive naturals, for example, 10406713380 + ... + 10406733666.

It is an arithmetic number, because the mean of its divisors is an integer number (5052640054272).

Almost surely, 2^{211121200111101} is an apocalyptic number.

211121200111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211121200111101 is a deficient number, since it is larger than the sum of its proper divisors (112247763362307).

211121200111101 is a wasteful number, since it uses less digits than its factorization.

211121200111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211121200111101 its reverse (101111002121112), we get a palindrome (312232202232213).

It can be divided in two parts, 21112120011 and 1101, that added together give a palindrome (21112121112).

The spelling of 211121200111101 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred one".