122101200200100 has 432 divisors, whose sum is σ = 410871448447040. Its totient is φ = 27897053184000.

The previous prime is 122101200200071. The next prime is 122101200200149. The reversal of 122101200200100 is 1002002101221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132653460 + ... + 133570740.

Almost surely, 2^{122101200200100} is an apocalyptic number.

122101200200100 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 122101200200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205435724223520).

122101200200100 is an abundant number, since it is smaller than the sum of its proper divisors (288770248246940).

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

122101200200100 is a wasteful number, since it uses less digits than its factorization.

122101200200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917532 (or 917514 counting only the distinct ones).

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

Adding to 122101200200100 its reverse (1002002101221), we get a palindrome (123103202301321).

The spelling of 122101200200100 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, two hundred thousand, one hundred".