20102102012000 has 96 divisors (see below), whose sum is σ = 49639061908800. Its totient is φ = 8000434252800.

The previous prime is 20102102011991. The next prime is 20102102012009. The reversal of 20102102012000 is 21020120102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20102102011991) and next prime (20102102012009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102102012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11830949 + ... + 13422948.

It is an arithmetic number, because the mean of its divisors is an integer number (517073561550).

Almost surely, 2^{20102102012000} is an apocalyptic number.

20102102012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102102012000 is an abundant number, since it is smaller than the sum of its proper divisors (29536959896800).

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

20102102012000 is a wasteful number, since it uses less digits than its factorization.

20102102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25254121 (or 25254103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102102012000 its reverse (21020120102), we get a palindrome (20123122132102).

The spelling of 20102102012000 in words is "twenty trillion, one hundred two billion, one hundred two million, twelve thousand".