20010101210000 has 200 divisors, whose sum is σ = 54673125249600. Its totient is φ = 7025488960000.

The previous prime is 20010101209937. The next prime is 20010101210027. The reversal of 20010101210000 is 1210101002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20010101210000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53621 + ... + 6326379.

It is an arithmetic number, because the mean of its divisors is an integer number (273365626248).

Almost surely, 2^{20010101210000} is an apocalyptic number.

20010101210000 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 20010101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27336562624800).

20010101210000 is an abundant number, since it is smaller than the sum of its proper divisors (34663024039600).

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

20010101210000 is a wasteful number, since it uses less digits than its factorization.

20010101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272827 (or 6272806 counting only the distinct ones).

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

Adding to 20010101210000 its reverse (1210101002), we get a palindrome (20011311311002).

The spelling of 20010101210000 in words is "twenty trillion, ten billion, one hundred one million, two hundred ten thousand".