211121201122002 has 24 divisors (see below), whose sum is σ = 464928109577100. Its totient is φ = 69220065941280.

The previous prime is 211121201121989. The next prime is 211121201122037. The reversal of 211121201122002 is 200221102121112.

211121201122002 is a `hidden beast` number, since 211 + 121 + 20 + 112 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148687514675001 + 62433686447001 = 12193749^2 + 7901499^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 96138979377 + ... + 96138981572.

Almost surely, 2^{211121201122002} is an apocalyptic number.

211121201122002 is an abundant number, since it is smaller than the sum of its proper divisors (253806908455098).

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

211121201122002 is a wasteful number, since it uses less digits than its factorization.

211121201122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192277961018 (or 192277961015 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121201122002 its reverse (200221102121112), we get a palindrome (411342303243114).

The spelling of 211121201122002 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, two".