122101220100 has 288 divisors, whose sum is σ = 389495070720. Its totient is φ = 29428636160.

The previous prime is 122101220093. The next prime is 122101220107. The reversal of 122101220100 is 1022101221.

It is an interprime number because it is at equal distance from previous prime (122101220093) and next prime (122101220107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122101220107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9398209 + ... + 9411191.

It is an arithmetic number, because the mean of its divisors is an integer number (1352413440).

Almost surely, 2^122101220100 is an apocalyptic number.

122101220100 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 122101220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194747535360).

122101220100 is an abundant number, since it is smaller than the sum of its proper divisors (267393850620).

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

122101220100 is a wasteful number, since it uses less digits than its factorization.

122101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122101220100 its reverse (1022101221), we get a palindrome (123123321321).

The spelling of 122101220100 in words is "one hundred twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred".