122101010200 has 96 divisors (see below), whose sum is σ = 305882609760. Its totient is φ = 45059788800.

The previous prime is 122101010191. The next prime is 122101010209. The reversal of 122101010200 is 2010101221.

It is an interprime number because it is at equal distance from previous prime (122101010191) and next prime (122101010209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101010209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5399317 + ... + 5421883.

It is an arithmetic number, because the mean of its divisors is an integer number (3186277185).

Almost surely, 2^122101010200 is an apocalyptic number.

122101010200 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 122101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152941304880).

122101010200 is an abundant number, since it is smaller than the sum of its proper divisors (183781599560).

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

122101010200 is a wasteful number, since it uses less digits than its factorization.

122101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24677 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101010200 its reverse (2010101221), we get a palindrome (124111111421).

The spelling of 122101010200 in words is "one hundred twenty-two billion, one hundred one million, ten thousand, two hundred".