20101101020000 has 960 divisors, whose sum is σ = 67202235201024. Its totient is φ = 5713182720000.

The previous prime is 20101101019919. The next prime is 20101101020023. The reversal of 20101101020000 is 2010110102.

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 20101101020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1661653952 + ... + 1661666048.

Almost surely, 2^{20101101020000} is an apocalyptic number.

20101101020000 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 20101101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33601117600512).

20101101020000 is an abundant number, since it is smaller than the sum of its proper divisors (47101134181024).

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

20101101020000 is a wasteful number, since it uses less digits than its factorization.

20101101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241 (or 12218 counting only the distinct ones).

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

Adding to 20101101020000 its reverse (2010110102), we get a palindrome (20103111130102).

20101101020000 divided by its reverse (2010110102) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 20101 and 101020000, that added together give a palindrome (101040101).

The spelling of 20101101020000 in words is "twenty trillion, one hundred one billion, one hundred one million, twenty thousand".