122201210010100 has 108 divisors (see below), whose sum is σ = 287151212966436. Its totient is φ = 45119300828160.

The previous prime is 122201210010023. The next prime is 122201210010169. The reversal of 122201210010100 is 1010012102221.

It can be written as a sum of positive squares in 18 ways, for example, as 109034152731364 + 13167057278736 = 10441942^2 + 3628644^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 966160464 + ... + 966286936.

It is an arithmetic number, because the mean of its divisors is an integer number (2658807527467).

Almost surely, 2^{122201210010100} is an apocalyptic number.

122201210010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201210010100 is an abundant number, since it is smaller than the sum of its proper divisors (164950002956336).

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

122201210010100 is a wasteful number, since it uses less digits than its factorization.

122201210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183686 (or 183666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122201210010100 its reverse (1010012102221), we get a palindrome (123211222112321).

The spelling of 122201210010100 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred ten million, ten thousand, one hundred".