211121100110120 has 32 divisors (see below), whose sum is σ = 483073703647200. Its totient is φ = 83017110550848.

The previous prime is 211121100110101. The next prime is 211121100110177. The reversal of 211121100110120 is 21011001121112.

It is a super-2 number, since 2×211121100110120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211121100110095 and 211121100110104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44729044274 + ... + 44729048993.

It is an arithmetic number, because the mean of its divisors is an integer number (15096053238975).

Almost surely, 2^{211121100110120} is an apocalyptic number.

211121100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121100110120 is an abundant number, since it is smaller than the sum of its proper divisors (271952603537080).

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

211121100110120 is a wasteful number, since it uses less digits than its factorization.

211121100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89458093337 (or 89458093333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211121100110120 its reverse (21011001121112), we get a palindrome (232132101231232).

The spelling of 211121100110120 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred ten thousand, one hundred twenty".