211100001201120 has 96 divisors (see below), whose sum is σ = 666158837668128. Its totient is φ = 56192268351488.

The previous prime is 211100001201119. The next prime is 211100001201137. The reversal of 211100001201120 is 21102100001112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211100001201120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211100001201096 and 211100001201105.

It is a congruent number.

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, 394518699 + ... + 395053418.

It is an arithmetic number, because the mean of its divisors is an integer number (6939154559043).

Almost surely, 2^{211100001201120} is an apocalyptic number.

211100001201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100001201120 is an abundant number, since it is smaller than the sum of its proper divisors (455058836467008).

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

211100001201120 is a wasteful number, since it uses less digits than its factorization.

211100001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789572692 (or 789572684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211100001201120 its reverse (21102100001112), we get a palindrome (232202101202232).

The spelling of 211100001201120 in words is "two hundred eleven trillion, one hundred billion, one million, two hundred one thousand, one hundred twenty".