211201011001120 has 48 divisors (see below), whose sum is σ = 570242729706048. Its totient is φ = 72411775200000.

The previous prime is 211201011001117. The next prime is 211201011001139. The reversal of 211201011001120 is 21100110102112.

It is a happy number.

It is a super-3 number, since 3×211201011001120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 211201011001120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94286164506 + ... + 94286166745.

It is an arithmetic number, because the mean of its divisors is an integer number (11880056868876).

Almost surely, 2^{211201011001120} is an apocalyptic number.

211201011001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201011001120 is an abundant number, since it is smaller than the sum of its proper divisors (359041718704928).

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

211201011001120 is a wasteful number, since it uses less digits than its factorization.

211201011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188572331273 (or 188572331265 counting only the distinct ones).

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

Adding to 211201011001120 its reverse (21100110102112), we get a palindrome (232301121103232).

The spelling of 211201011001120 in words is "two hundred eleven trillion, two hundred one billion, eleven million, one thousand, one hundred twenty".