122012001200100 has 144 divisors (see below), whose sum is σ = 385387582991040. Its totient is φ = 29557673164800.

The previous prime is 122012001200099. The next prime is 122012001200161. The reversal of 122012001200100 is 1002100210221.

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 47 ways as a sum of consecutive naturals, for example, 8470717 + ... + 17770116.

It is an arithmetic number, because the mean of its divisors is an integer number (2676302659660).

Almost surely, 2^{122012001200100} is an apocalyptic number.

122012001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012001200100 is an abundant number, since it is smaller than the sum of its proper divisors (263375581790940).

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

122012001200100 is a wasteful number, since it uses less digits than its factorization.

122012001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26242270 (or 26242263 counting only the distinct ones).

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

Adding to 122012001200100 its reverse (1002100210221), we get a palindrome (123014101410321).

The spelling of 122012001200100 in words is "one hundred twenty-two trillion, twelve billion, one million, two hundred thousand, one hundred".