211121201201020 has 96 divisors (see below), whose sum is σ = 485214689030400. Its totient is φ = 76524577113600.

The previous prime is 211121201201003. The next prime is 211121201201107. The reversal of 211121201201020 is 20102102121112.

It is a junction number, because it is equal to n+sod(n) for n = 211121201200985 and 211121201201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379041091 + ... + 379597669.

It is an arithmetic number, because the mean of its divisors is an integer number (5054319677400).

Almost surely, 2^{211121201201020} is an apocalyptic number.

211121201201020 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 211121201201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242607344515200).

211121201201020 is an abundant number, since it is smaller than the sum of its proper divisors (274093487829380).

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

211121201201020 is a wasteful number, since it uses less digits than its factorization.

211121201201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562139 (or 562137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121201201020 its reverse (20102102121112), we get a palindrome (231223303322132).

The spelling of 211121201201020 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, two hundred one thousand, twenty".