122200010100 has 504 divisors, whose sum is σ = 465026555840. Its totient is φ = 27276963840.

The previous prime is 122200010077. The next prime is 122200010117. The reversal of 122200010100 is 1010002221.

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 167 ways as a sum of consecutive naturals, for example, 21940116 + ... + 21945684.

Almost surely, 2^122200010100 is an apocalyptic number.

122200010100 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 122200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232513277920).

122200010100 is an abundant number, since it is smaller than the sum of its proper divisors (342826545740).

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

122200010100 is a wasteful number, since it uses less digits than its factorization.

122200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5629 counting only the distinct ones).

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

Adding to 122200010100 its reverse (1010002221), we get a palindrome (123210012321).

It can be divided in two parts, 1222000 and 10100, that added together give a square (1232100 = 1110²).

The spelling of 122200010100 in words is "one hundred twenty-two billion, two hundred million, ten thousand, one hundred".