211121011000011 has 64 divisors (see below), whose sum is σ = 329445857940480. Its totient is φ = 117763322826240.

The previous prime is 211121011000007. The next prime is 211121011000049. The reversal of 211121011000011 is 110000110121112.

It is not a de Polignac number, because 211121011000011 - 2² = 211121011000007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121011000411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218976996 + ... + 219939006.

It is an arithmetic number, because the mean of its divisors is an integer number (5147591530320).

Almost surely, 2^{211121011000011} is an apocalyptic number.

211121011000011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211121011000011 is a deficient number, since it is larger than the sum of its proper divisors (118324846940469).

211121011000011 is a wasteful number, since it uses less digits than its factorization.

211121011000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963076.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211121011000011 its reverse (110000110121112), we get a palindrome (321121121121123).

The spelling of 211121011000011 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, eleven", and thus it is an aban number.