211111110121100 has 144 divisors (see below), whose sum is σ = 532543175888640. Its totient is φ = 71148735072000.

The previous prime is 211111110121099. The next prime is 211111110121123. The reversal of 211111110121100 is 1121011111112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913754 + ... + 20568353.

Almost surely, 2^{211111110121100} is an apocalyptic number.

211111110121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111110121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266271587944320).

211111110121100 is an abundant number, since it is smaller than the sum of its proper divisors (321432065767540).

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

211111110121100 is a wasteful number, since it uses less digits than its factorization.

211111110121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21482368 (or 21482361 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 211111110121100 its reverse (1121011111112), we get a palindrome (212232121232212).

The spelling of 211111110121100 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred ten million, one hundred twenty-one thousand, one hundred".