211100101001120 has 48 divisors (see below), whose sum is σ = 498756114275328. Its totient is φ = 84434601135360.

The previous prime is 211100101001087. The next prime is 211100101001147. The reversal of 211100101001120 is 21100101001112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40002176 + ... + 44970815.

It is an arithmetic number, because the mean of its divisors is an integer number (10390752380736).

Almost surely, 2^{211100101001120} is an apocalyptic number.

211100101001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100101001120 is an abundant number, since it is smaller than the sum of its proper divisors (287656013274208).

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

211100101001120 is a wasteful number, since it uses less digits than its factorization.

211100101001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84988533 (or 84988525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211100101001120 its reverse (21100101001112), we get a palindrome (232200202002232).

The spelling of 211100101001120 in words is "two hundred eleven trillion, one hundred billion, one hundred one million, one thousand, one hundred twenty".