10022001221120 has 640 divisors, whose sum is σ = 29764094976000. Its totient is φ = 3159752343552.

The previous prime is 10022001221053. The next prime is 10022001221161. The reversal of 10022001221120 is 2112210022001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10022001221120² (a number of 27 digits) contains 22 as substring.

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 = 10022001221095 and 10022001221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2444984831 + ... + 2444988929.

It is an arithmetic number, because the mean of its divisors is an integer number (46506398400).

Almost surely, 2^{10022001221120} is an apocalyptic number.

10022001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882047488000).

10022001221120 is an abundant number, since it is smaller than the sum of its proper divisors (19742093754880).

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

10022001221120 is a wasteful number, since it uses less digits than its factorization.

10022001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4342 counting only the distinct ones).

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

Adding to 10022001221120 its reverse (2112210022001), we get a palindrome (12134211243121).

The spelling of 10022001221120 in words is "ten trillion, twenty-two billion, one million, two hundred twenty-one thousand, one hundred twenty".