201210012121122 has 24 divisors (see below), whose sum is σ = 447737594541276. Its totient is φ = 65257301228256.

The previous prime is 201210012121121. The next prime is 201210012121123. The reversal of 201210012121122 is 221121210012102.

201210012121122 is a `hidden beast` number, since 201 + 210 + 0 + 1 + 21 + 211 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (201210012121121) and next prime (201210012121123).

It can be written as a sum of positive squares in 2 ways, for example, as 180559176947361 + 20650835173761 = 13437231^2 + 4544319^2 .

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 = 201210012121095 and 201210012121104.

It is not an unprimeable number, because it can be changed into a prime (201210012121121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151058566993 + ... + 151058568324.

Almost surely, 2^{201210012121122} is an apocalyptic number.

201210012121122 is an abundant number, since it is smaller than the sum of its proper divisors (246527582420154).

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

201210012121122 is a wasteful number, since it uses less digits than its factorization.

201210012121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302117135362 (or 302117135359 counting only the distinct ones).

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

Adding to 201210012121122 its reverse (221121210012102), we get a palindrome (422331222133224).

The spelling of 201210012121122 in words is "two hundred one trillion, two hundred ten billion, twelve million, one hundred twenty-one thousand, one hundred twenty-two".