211020120111100 has 288 divisors, whose sum is σ = 482187138048000. Its totient is φ = 80049761326080.

The previous prime is 211020120111089. The next prime is 211020120111133. The reversal of 211020120111100 is 1111021020112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36910985442 + ... + 36910991158.

It is an arithmetic number, because the mean of its divisors is an integer number (1674260896000).

Almost surely, 2^{211020120111100} is an apocalyptic number.

211020120111100 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 211020120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241093569024000).

211020120111100 is an abundant number, since it is smaller than the sum of its proper divisors (271167017936900).

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

211020120111100 is a wasteful number, since it uses less digits than its factorization.

211020120111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6638 counting only the distinct ones).

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

Adding to 211020120111100 its reverse (1111021020112), we get a palindrome (212131141131212).

The spelling of 211020120111100 in words is "two hundred eleven trillion, twenty billion, one hundred twenty million, one hundred eleven thousand, one hundred".