211121210002122 has 96 divisors (see below), whose sum is σ = 542221315968384. Its totient is φ = 58108976208000.

The previous prime is 211121210002111. The next prime is 211121210002123. The reversal of 211121210002122 is 221200012121112.

211121210002122 is a `hidden beast` number, since 211 + 121 + 210 + 0 + 0 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211121210002095 and 211121210002104.

It is not an unprimeable number, because it can be changed into a prime (211121210002123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223715004 + ... + 224656727.

It is an arithmetic number, because the mean of its divisors is an integer number (5648138708004).

Almost surely, 2^{211121210002122} is an apocalyptic number.

211121210002122 is an abundant number, since it is smaller than the sum of its proper divisors (331100105966262).

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

211121210002122 is a wasteful number, since it uses less digits than its factorization.

211121210002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448371884 (or 448371881 counting only the distinct ones).

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

Adding to 211121210002122 its reverse (221200012121112), we get a palindrome (432321222123234).

The spelling of 211121210002122 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, two thousand, one hundred twenty-two".