211211021101101 has 16 divisors (see below), whose sum is σ = 321946543006848. Its totient is φ = 120654070488000.

The previous prime is 211211021101097. The next prime is 211211021101109. The reversal of 211211021101101 is 101101120112112.

It is not a de Polignac number, because 211211021101101 - 2² = 211211021101097 is a prime.

It is a super-2 number, since 2×211211021101101² (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 (211211021101109) 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 15 ways as a sum of consecutive naturals, for example, 1580830350 + ... + 1580963951.

It is an arithmetic number, because the mean of its divisors is an integer number (20121658937928).

Almost surely, 2^{211211021101101} is an apocalyptic number.

211211021101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211021101101 is a deficient number, since it is larger than the sum of its proper divisors (110735521905747).

211211021101101 is a wasteful number, since it uses less digits than its factorization.

211211021101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161797492.

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

Adding to 211211021101101 its reverse (101101120112112), we get a palindrome (312312141213213).

The spelling of 211211021101101 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-one million, one hundred one thousand, one hundred one".