1007221510206 has 128 divisors (see below), whose sum is σ = 2374570598400. Its totient is φ = 315944133120.

The previous prime is 1007221510201. The next prime is 1007221510327. The reversal of 1007221510206 is 6020151227001.

1007221510206 is a `hidden beast` number, since 100 + 7 + 2 + 21 + 510 + 20 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1007221510206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007221510201) 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 63 ways as a sum of consecutive naturals, for example, 17709691 + ... + 17766473.

It is an arithmetic number, because the mean of its divisors is an integer number (18551332800).

Almost surely, 2^{1007221510206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007221510206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187285299200).

1007221510206 is an abundant number, since it is smaller than the sum of its proper divisors (1367349088194).

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

1007221510206 is a wasteful number, since it uses less digits than its factorization.

1007221510206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57111 (or 57105 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1007221510206 its reverse (6020151227001), we get a palindrome (7027372737207).

The spelling of 1007221510206 in words is "one trillion, seven billion, two hundred twenty-one million, five hundred ten thousand, two hundred six".