20110211000 has 256 divisors, whose sum is σ = 54166993920. Its totient is φ = 6916800000.

The previous prime is 20110210999. The next prime is 20110211053. The reversal of 20110211000 is 11201102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25552607 + ... + 25553393.

It is an arithmetic number, because the mean of its divisors is an integer number (211589820).

Almost surely, 2^20110211000 is an apocalyptic number.

20110211000 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 20110211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27083496960).

20110211000 is an abundant number, since it is smaller than the sum of its proper divisors (34056782920).

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

20110211000 is a wasteful number, since it uses less digits than its factorization.

20110211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

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

Adding to 20110211000 its reverse (11201102), we get a palindrome (20121412102).

It can be divided in two parts, 201 and 10211000, that added together give a palindrome (10211201).

The spelling of 20110211000 in words is "twenty billion, one hundred ten million, two hundred eleven thousand".