201210122102100 has 72 divisors (see below), whose sum is σ = 583512452396160. Its totient is φ = 53532115591680.

The previous prime is 201210122102083. The next prime is 201210122102131. The reversal of 201210122102100 is 1201221012102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201210122102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774350940 + ... + 774610739.

Almost surely, 2^{201210122102100} is an apocalyptic number.

201210122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210122102100 is an abundant number, since it is smaller than the sum of its proper divisors (382302330294060).

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

201210122102100 is a wasteful number, since it uses less digits than its factorization.

201210122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548962129 (or 1548962122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201210122102100 its reverse (1201221012102), we get a palindrome (202411343114202).

The spelling of 201210122102100 in words is "two hundred one trillion, two hundred ten billion, one hundred twenty-two million, one hundred two thousand, one hundred".