20102000100000 has 1728 divisors, whose sum is σ = 84888500038272. Its totient is φ = 4125219840000.

The previous prime is 20102000099971. The next prime is 20102000100043. The reversal of 20102000100000 is 100020102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7070698579 + ... + 7070701421.

It is an arithmetic number, because the mean of its divisors is an integer number (49125289374).

Almost surely, 2^{20102000100000} is an apocalyptic number.

20102000100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444250019136).

20102000100000 is an abundant number, since it is smaller than the sum of its proper divisors (64786499938272).

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

20102000100000 is a wasteful number, since it uses less digits than its factorization.

20102000100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20102000100000 its reverse (100020102), we get a palindrome (20102100120102).

The spelling of 20102000100000 in words is "twenty trillion, one hundred two billion, one hundred thousand".