10221211001120 has 144 divisors (see below), whose sum is σ = 28091857079160. Its totient is φ = 3504193265664.

The previous prime is 10221211001119. The next prime is 10221211001123. The reversal of 10221211001120 is 2110011212201.

It can be written as a sum of positive squares in 4 ways, for example, as 7529996999056 + 2691214002064 = 2744084^2 + 1640492^2 .

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 = 10221211001095 and 10221211001104.

It is not an unprimeable number, because it can be changed into a prime (10221211001123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166718312 + ... + 166779608.

Almost surely, 2^{10221211001120} is an apocalyptic number.

10221211001120 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 10221211001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045928539580).

10221211001120 is an abundant number, since it is smaller than the sum of its proper divisors (17870646078040).

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

10221211001120 is a wasteful number, since it uses less digits than its factorization.

10221211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82595 (or 82580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221211001120 its reverse (2110011212201), we get a palindrome (12331222213321).

The spelling of 10221211001120 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, one thousand, one hundred twenty".