20110210201000 has 128 divisors (see below), whose sum is σ = 48190942800000. Its totient is φ = 7850700748800.

The previous prime is 20110210200947. The next prime is 20110210201001. The reversal of 20110210201000 is 10201201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20110210201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53519779 + ... + 53894221.

It is an arithmetic number, because the mean of its divisors is an integer number (376491740625).

Almost surely, 2^{20110210201000} is an apocalyptic number.

20110210201000 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 20110210201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095471400000).

20110210201000 is an abundant number, since it is smaller than the sum of its proper divisors (28080732599000).

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

20110210201000 is a wasteful number, since it uses less digits than its factorization.

20110210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375756 (or 375742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110210201000 its reverse (10201201102), we get a palindrome (20120411402102).

It can be divided in two parts, 201 and 10210201000, that added together give a palindrome (10210201201).

The spelling of 20110210201000 in words is "twenty trillion, one hundred ten billion, two hundred ten million, two hundred one thousand".