122001002000200 has 24 divisors (see below), whose sum is σ = 283652329650930. Its totient is φ = 48800400800000.

The previous prime is 122001002000051. The next prime is 122001002000203. The reversal of 122001002000200 is 2000200100221.

It can be written as a sum of positive squares in 3 ways, for example, as 54457226876196 + 67543775124004 = 7379514^2 + 8218502^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122001002000203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305002504801 + ... + 305002505200.

Almost surely, 2^{122001002000200} is an apocalyptic number.

122001002000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001002000200 is an abundant number, since it is smaller than the sum of its proper divisors (161651327650730).

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

122001002000200 is a wasteful number, since it uses less digits than its factorization.

122001002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610005010017 (or 610005010008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122001002000200 its reverse (2000200100221), we get a palindrome (124001202100421).

The spelling of 122001002000200 in words is "one hundred twenty-two trillion, one billion, two million, two hundred", and thus it is an aban number.