211011200120 has 256 divisors, whose sum is σ = 569532902400. Its totient is φ = 68836884480.

The previous prime is 211011200111. The next prime is 211011200143. The reversal of 211011200120 is 21002110112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173385752 + ... + 173386968.

It is an arithmetic number, because the mean of its divisors is an integer number (2224737900).

Almost surely, 2^211011200120 is an apocalyptic number.

211011200120 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 211011200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284766451200).

211011200120 is an abundant number, since it is smaller than the sum of its proper divisors (358521702280).

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

211011200120 is a wasteful number, since it uses less digits than its factorization.

211011200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211011200120 its reverse (21002110112), we get a palindrome (232013310232).

It can be divided in two parts, 21101 and 1200120, that added together give a palindrome (1221221).

The spelling of 211011200120 in words is "two hundred eleven billion, eleven million, two hundred thousand, one hundred twenty".