20102211120 has 80 divisors (see below), whose sum is σ = 62465189472. Its totient is φ = 5347829760.

The previous prime is 20102211089. The next prime is 20102211127. The reversal of 20102211120 is 2111220102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20102211096 and 20102211105.

It is not an unprimeable number, because it can be changed into a prime (20102211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564 + ... + 200516.

Almost surely, 2^20102211120 is an apocalyptic number.

20102211120 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 20102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31232594736).

20102211120 is an abundant number, since it is smaller than the sum of its proper divisors (42362978352).

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

20102211120 is a wasteful number, since it uses less digits than its factorization.

20102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199390 (or 199384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102211120 its reverse (2111220102), we get a palindrome (22213431222).

The spelling of 20102211120 in words is "twenty billion, one hundred two million, two hundred eleven thousand, one hundred twenty".