211100121121120 has 384 divisors, whose sum is σ = 634039016712192. Its totient is φ = 64513456128000.

The previous prime is 211100121121079. The next prime is 211100121121129. The reversal of 211100121121120 is 21121121001112.

It is a super-2 number, since 2×211100121121120² (a number of 29 digits) contains 22 as substring.

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 = 211100121121094 and 211100121121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100121121129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127341412 + ... + 128988508.

It is an arithmetic number, because the mean of its divisors is an integer number (1651143272688).

Almost surely, 2^{211100121121120} is an apocalyptic number.

211100121121120 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 211100121121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317019508356096).

211100121121120 is an abundant number, since it is smaller than the sum of its proper divisors (422938895591072).

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

211100121121120 is a wasteful number, since it uses less digits than its factorization.

211100121121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647334 (or 1647326 counting only the distinct ones).

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

Adding to 211100121121120 its reverse (21121121001112), we get a palindrome (232221242122232).

The spelling of 211100121121120 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".