10221111101120 has 56 divisors (see below), whose sum is σ = 24856872352704. Its totient is φ = 4001456254976.

The previous prime is 10221111101111. The next prime is 10221111101153. The reversal of 10221111101120 is 2110111112201.

It is a super-2 number, since 2×10221111101120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221111101095 and 10221111101104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 339782537 + ... + 339812616.

It is an arithmetic number, because the mean of its divisors is an integer number (443872720584).

Almost surely, 2^{10221111101120} is an apocalyptic number.

10221111101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221111101120 is an abundant number, since it is smaller than the sum of its proper divisors (14635761251584).

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

10221111101120 is an equidigital number, since it uses as much as digits as its factorization.

10221111101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679595217 (or 679595207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10221111101120 its reverse (2110111112201), we get a palindrome (12331222213321).

The spelling of 10221111101120 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred twenty".