20102121002100 has 72 divisors (see below), whose sum is σ = 58162656240640. Its totient is φ = 5360517722880.

The previous prime is 20102121002083. The next prime is 20102121002113. The reversal of 20102121002100 is 120012120102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44511024 + ... + 44960376.

Almost surely, 2^{20102121002100} is an apocalyptic number.

20102121002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102121002100 is an abundant number, since it is smaller than the sum of its proper divisors (38060535238540).

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

20102121002100 is a wasteful number, since it uses less digits than its factorization.

20102121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598489 (or 598482 counting only the distinct ones).

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

Adding to 20102121002100 its reverse (120012120102), we get a palindrome (20222133122202).

The spelling of 20102121002100 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, two thousand, one hundred".