20101221120 has 72 divisors (see below), whose sum is σ = 64198287216. Its totient is φ = 5360324608.

The previous prime is 20101221083. The next prime is 20101221143. The reversal of 20101221120 is 2112210102.

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 = 20101221096 and 20101221105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2613507 + ... + 2621186.

It is an arithmetic number, because the mean of its divisors is an integer number (891642878).

Almost surely, 2^20101221120 is an apocalyptic number.

20101221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221120 is an abundant number, since it is smaller than the sum of its proper divisors (44097066096).

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

20101221120 is an equidigital number, since it uses as much as digits as its factorization.

20101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234717 (or 5234703 counting only the distinct ones).

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

Adding to 20101221120 its reverse (2112210102), we get a palindrome (22213431222).

The spelling of 20101221120 in words is "twenty billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".