122100100020 has 72 divisors (see below), whose sum is σ = 379403748360. Its totient is φ = 31765877760.

The previous prime is 122100099997. The next prime is 122100100027. The reversal of 122100100020 is 20001001221.

It can be written as a sum of positive squares in 4 ways, for example, as 13966985124 + 108133114896 = 118182^2 + 328836^2 .

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 = 122100099975 and 122100100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100100027) by changing a digit.

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, 8264985 + ... + 8279744.

It is an arithmetic number, because the mean of its divisors is an integer number (5269496505).

Almost surely, 2^122100100020 is an apocalyptic number.

122100100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100100020 is an abundant number, since it is smaller than the sum of its proper divisors (257303648340).

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

122100100020 is a wasteful number, since it uses less digits than its factorization.

122100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544785 (or 16544780 counting only the distinct ones).

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

Adding to 122100100020 its reverse (20001001221), we get a palindrome (142101101241).

The spelling of 122100100020 in words is "one hundred twenty-two billion, one hundred million, one hundred thousand, twenty".