20102211000 has 768 divisors, whose sum is σ = 76404332160. Its totient is φ = 4744396800.

The previous prime is 20102210977. The next prime is 20102211001. The reversal of 20102211000 is 11220102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102211001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 300032967 + ... + 300033033.

Almost surely, 2^20102211000 is an apocalyptic number.

20102211000 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 20102211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38202166080).

20102211000 is an abundant number, since it is smaller than the sum of its proper divisors (56302121160).

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

20102211000 is a wasteful number, since it uses less digits than its factorization.

20102211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20102211000 its reverse (11220102), we get a palindrome (20113431102).

The spelling of 20102211000 in words is "twenty billion, one hundred two million, two hundred eleven thousand".