10220211211120 has 40 divisors (see below), whose sum is σ = 23865755261760. Its totient is φ = 4070232579840.

The previous prime is 10220211211037. The next prime is 10220211211129. The reversal of 10220211211120 is 2111211202201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10220211211094 and 10220211211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211211129) 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 7 ways as a sum of consecutive naturals, for example, 278917576 + ... + 278954215.

It is an arithmetic number, because the mean of its divisors is an integer number (596643881544).

Almost surely, 2^{10220211211120} is an apocalyptic number.

10220211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220211211120 is an abundant number, since it is smaller than the sum of its proper divisors (13645544050640).

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

10220211211120 is a wasteful number, since it uses less digits than its factorization.

10220211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557872033 (or 557872027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10220211211120 its reverse (2111211202201), we get a palindrome (12331422413321).

The spelling of 10220211211120 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".