211312111101 has 32 divisors (see below), whose sum is σ = 350009468928. Its totient is φ = 110419623360.

The previous prime is 211312110973. The next prime is 211312111117. The reversal of 211312111101 is 101111213112.

It is not a de Polignac number, because 211312111101 - 2⁷ = 211312110973 is a prime.

It is a super-2 number, since 2×211312111101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312111151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3587785 + ... + 3646206.

It is an arithmetic number, because the mean of its divisors is an integer number (10937795904).

Almost surely, 2^211312111101 is an apocalyptic number.

211312111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211312111101 is a deficient number, since it is larger than the sum of its proper divisors (138697357827).

211312111101 is a wasteful number, since it uses less digits than its factorization.

211312111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234121.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 211312111101 its reverse (101111213112), we get a palindrome (312423324213).

The spelling of 211312111101 in words is "two hundred eleven billion, three hundred twelve million, one hundred eleven thousand, one hundred one".