211114134414100 has 36 divisors (see below), whose sum is σ = 458121824764128. Its totient is φ = 84444888220000.

The previous prime is 211114134414083. The next prime is 211114134414109. The reversal of 211114134414100 is 1414431411112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211114134414109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581255 + ... + 20608945.

It is an arithmetic number, because the mean of its divisors is an integer number (12725606243448).

Almost surely, 2^{211114134414100} is an apocalyptic number.

211114134414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211114134414100 is an abundant number, since it is smaller than the sum of its proper divisors (247007690350028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211114134414100 is a wasteful number, since it uses less digits than its factorization.

211114134414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19138656 (or 19138649 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 211114134414100 its reverse (1414431411112), we get a palindrome (212528565825212).

The spelling of 211114134414100 in words is "two hundred eleven trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred fourteen thousand, one hundred".