20001012010100 has 144 divisors (see below), whose sum is σ = 47414999370816. Its totient is φ = 7262788608000.

The previous prime is 20001012010073. The next prime is 20001012010151. The reversal of 20001012010100 is 101021010002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002700770 + ... + 3002707430.

It is an arithmetic number, because the mean of its divisors is an integer number (329270828964).

Almost surely, 2^{20001012010100} is an apocalyptic number.

20001012010100 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 20001012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23707499685408).

20001012010100 is an abundant number, since it is smaller than the sum of its proper divisors (27413987360716).

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

20001012010100 is a wasteful number, since it uses less digits than its factorization.

20001012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20001012010100 its reverse (101021010002), we get a palindrome (20102033020102).

The spelling of 20001012010100 in words is "twenty trillion, one billion, twelve million, ten thousand, one hundred".