10001022221120 has 56 divisors (see below), whose sum is σ = 27217067622144. Its totient is φ = 3428921903616.

The previous prime is 10001022221111. The next prime is 10001022221123. The reversal of 10001022221120 is 2112222010001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10001022221095 and 10001022221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001022221123) 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 7 ways as a sum of consecutive naturals, for example, 2232368792 + ... + 2232373271.

Almost surely, 2^{10001022221120} is an apocalyptic number.

10001022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001022221120 is an abundant number, since it is smaller than the sum of its proper divisors (17216045401024).

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

10001022221120 is an equidigital number, since it uses as much as digits as its factorization.

10001022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464742087 (or 4464742077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10001022221120 its reverse (2112222010001), we get a palindrome (12113244231121).

The spelling of 10001022221120 in words is "ten trillion, one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".