122020010100 has 108 divisors (see below), whose sum is σ = 382690529676. Its totient is φ = 32519477760.

The previous prime is 122020010083. The next prime is 122020010111. The reversal of 122020010100 is 1010020221.

It can be written as a sum of positive squares in 6 ways, for example, as 29021848164 + 92998161936 = 170358^2 + 304956^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1520584 + ... + 1598816.

Almost surely, 2^122020010100 is an apocalyptic number.

122020010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191345264838).

122020010100 is an abundant number, since it is smaller than the sum of its proper divisors (260670519576).

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

122020010100 is a wasteful number, since it uses less digits than its factorization.

122020010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79986 (or 79976 counting only the distinct ones).

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

Adding to 122020010100 its reverse (1010020221), we get a palindrome (123030030321).

The spelling of 122020010100 in words is "one hundred twenty-two billion, twenty million, ten thousand, one hundred".