211131112101 has 64 divisors (see below), whose sum is σ = 356400027648. Its totient is φ = 108184128768.

The previous prime is 211131112099. The next prime is 211131112103. The reversal of 211131112101 is 101211131112.

It is an interprime number because it is at equal distance from previous prime (211131112099) and next prime (211131112103).

It is not a de Polignac number, because 211131112101 - 2¹ = 211131112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131112103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6478690 + ... + 6511196.

It is an arithmetic number, because the mean of its divisors is an integer number (5568750432).

Almost surely, 2^211131112101 is an apocalyptic number.

211131112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211131112101 is a deficient number, since it is larger than the sum of its proper divisors (145268915547).

211131112101 is a wasteful number, since it uses less digits than its factorization.

211131112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33210.

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

Adding to 211131112101 its reverse (101211131112), we get a palindrome (312342243213).

It can be divided in two parts, 211131112 and 101, that multiplied together give a palindrome (21324242312).

The spelling of 211131112101 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred twelve thousand, one hundred one".