10211202221120 has 56 divisors (see below), whose sum is σ = 24316051006104. Its totient is φ = 4084375781376.

The previous prime is 10211202221089. The next prime is 10211202221141. The reversal of 10211202221120 is 2112220211201.

It can be written as a sum of positive squares in 4 ways, for example, as 3458022899776 + 6753179321344 = 1859576^2 + 2598688^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12696914 + ... + 13477166.

Almost surely, 2^{10211202221120} is an apocalyptic number.

10211202221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211202221120 is an abundant number, since it is smaller than the sum of its proper divisors (14104848784984).

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

10211202221120 is an equidigital number, since it uses as much as digits as its factorization.

10211202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821167 (or 821157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10211202221120 its reverse (2112220211201), we get a palindrome (12323422432321).

The spelling of 10211202221120 in words is "ten trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".