10221616202740 has 24 divisors (see below), whose sum is σ = 21465533433960. Its totient is φ = 4088619927168.

The previous prime is 10221616202669. The next prime is 10221616202753. The reversal of 10221616202740 is 4720261612201.

It can be written as a sum of positive squares in 4 ways, for example, as 824424048484 + 9397192154256 = 907978^2 + 3065484^2 .

It is a super-2 number, since 2×10221616202740² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221616202696 and 10221616202705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1658694 + ... + 4816066.

It is an arithmetic number, because the mean of its divisors is an integer number (894397226415).

Almost surely, 2^{10221616202740} is an apocalyptic number.

10221616202740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221616202740 is an abundant number, since it is smaller than the sum of its proper divisors (11243917231220).

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

10221616202740 is a wasteful number, since it uses less digits than its factorization.

10221616202740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319251 (or 3319249 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 10221616202740 its reverse (4720261612201), we get a palindrome (14941877814941).

The spelling of 10221616202740 in words is "ten trillion, two hundred twenty-one billion, six hundred sixteen million, two hundred two thousand, seven hundred forty".