211121100100120 has 64 divisors (see below), whose sum is σ = 542884247208000. Its totient is φ = 72384188060160.

The previous prime is 211121100100091. The next prime is 211121100100283. The reversal of 211121100100120 is 21001001121112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211121100100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144880906 + ... + 146330854.

It is an arithmetic number, because the mean of its divisors is an integer number (8482566362625).

Almost surely, 2^{211121100100120} is an apocalyptic number.

211121100100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121100100120 is an abundant number, since it is smaller than the sum of its proper divisors (331763147107880).

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

211121100100120 is a wasteful number, since it uses less digits than its factorization.

211121100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969988 (or 1969984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121100100120 its reverse (21001001121112), we get a palindrome (232122101221232).

The spelling of 211121100100120 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred thousand, one hundred twenty".