210122120104020 has 72 divisors (see below), whose sum is σ = 637372772795304. Its totient is φ = 56032359487488.

The previous prime is 210122120104009. The next prime is 210122120104097. The reversal of 210122120104020 is 20401021221012.

210122120104020 is a `hidden beast` number, since 2 + 10 + 1 + 221 + 20 + 10 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9100141022736 + 201021979081284 = 3016644^2 + 14178222^2 .

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 = 210122120103984 and 210122120104002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50571772 + ... + 54568748.

It is an arithmetic number, because the mean of its divisors is an integer number (8852399622157).

Almost surely, 2^{210122120104020} is an apocalyptic number.

210122120104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122120104020 is an abundant number, since it is smaller than the sum of its proper divisors (427250652691284).

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

210122120104020 is a wasteful number, since it uses less digits than its factorization.

210122120104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289049 (or 4289044 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210122120104020 its reverse (20401021221012), we get a palindrome (230523141325032).

The spelling of 210122120104020 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred four thousand, twenty".