20101020002000 has 480 divisors, whose sum is σ = 57332405205504. Its totient is φ = 6795726336000.

The previous prime is 20101020001991. The next prime is 20101020002003. The reversal of 20101020002000 is 20002010102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101020002003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2432649869 + ... + 2432658131.

Almost surely, 2^{20101020002000} is an apocalyptic number.

20101020002000 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 20101020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666202602752).

20101020002000 is an abundant number, since it is smaller than the sum of its proper divisors (37231385203504).

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

20101020002000 is a wasteful number, since it uses less digits than its factorization.

20101020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8621 counting only the distinct ones).

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

Adding to 20101020002000 its reverse (20002010102), we get a palindrome (20121022012102).

The spelling of 20101020002000 in words is "twenty trillion, one hundred one billion, twenty million, two thousand".