211101022111120 has 80 divisors (see below), whose sum is σ = 506920720858992. Its totient is φ = 81712300400640.

The previous prime is 211101022111097. The next prime is 211101022111169. The reversal of 211101022111120 is 21111220101112.

It can be written as a sum of positive squares in 8 ways, for example, as 42116413760656 + 168984608350464 = 6489716^2 + 12999408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211101022111094 and 211101022111103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340704021 + ... + 341323060.

Almost surely, 2^{211101022111120} is an apocalyptic number.

211101022111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101022111120 is an abundant number, since it is smaller than the sum of its proper divisors (295819698747872).

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

211101022111120 is a wasteful number, since it uses less digits than its factorization.

211101022111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682027220 (or 682027214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211101022111120 its reverse (21111220101112), we get a palindrome (232212242212232).

The spelling of 211101022111120 in words is "two hundred eleven trillion, one hundred one billion, twenty-two million, one hundred eleven thousand, one hundred twenty".