211121202121011 has 192 divisors, whose sum is σ = 390720737691648. Its totient is φ = 106879182096384.

The previous prime is 211121202120989. The next prime is 211121202121031. The reversal of 211121202121011 is 110121202121112.

It is a happy number.

211121202121011 is a `hidden beast` number, since 211 + 1 + 212 + 0 + 21 + 210 + 11 = 666.

It is not a de Polignac number, because 211121202121011 - 2³¹ = 211119054637363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121202121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1627236535 + ... + 1627366271.

It is an arithmetic number, because the mean of its divisors is an integer number (2035003842144).

Almost surely, 2^{211121202121011} is an apocalyptic number.

211121202121011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211121202121011 is a deficient number, since it is larger than the sum of its proper divisors (179599535570637).

211121202121011 is a wasteful number, since it uses less digits than its factorization.

211121202121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130530 (or 130527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121202121011 its reverse (110121202121112), we get a palindrome (321242404242123).

The spelling of 211121202121011 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, eleven".