122010100020 has 36 divisors (see below), whose sum is σ = 370097303940. Its totient is φ = 32536026624.

The previous prime is 122010100007. The next prime is 122010100031. The reversal of 122010100020 is 20001010221.

122010100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28341049104 + 93669050916 = 168348^2 + 306054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122010099975 and 122010100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338916765 + ... + 338917124.

It is an arithmetic number, because the mean of its divisors is an integer number (10280480665).

Almost surely, 2^122010100020 is an apocalyptic number.

122010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010100020 is an abundant number, since it is smaller than the sum of its proper divisors (248087203920).

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

122010100020 is a wasteful number, since it uses less digits than its factorization.

122010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677833904 (or 677833899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122010100020 its reverse (20001010221), we get a palindrome (142011110241).

The spelling of 122010100020 in words is "one hundred twenty-two billion, ten million, one hundred thousand, twenty".