20102102121100 has 72 divisors (see below), whose sum is σ = 43820126582400. Its totient is φ = 8004243886080.

The previous prime is 20102102121077. The next prime is 20102102121121. The reversal of 20102102121100 is 112120120102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575166426 + ... + 575201374.

It is an arithmetic number, because the mean of its divisors is an integer number (608612869200).

Almost surely, 2^{20102102121100} is an apocalyptic number.

20102102121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102102121100 is an abundant number, since it is smaller than the sum of its proper divisors (23718024461300).

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

20102102121100 is a wasteful number, since it uses less digits than its factorization.

20102102121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60979 (or 60972 counting only the distinct ones).

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

Adding to 20102102121100 its reverse (112120120102), we get a palindrome (20214222241202).

The spelling of 20102102121100 in words is "twenty trillion, one hundred two billion, one hundred two million, one hundred twenty-one thousand, one hundred".