10200122220013 has 16 divisors (see below), whose sum is σ = 11177414233920. Its totient is φ = 9231172134400.

The previous prime is 10200122219999. The next prime is 10200122220019. The reversal of 10200122220013 is 31002222100201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200122220013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122220019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28992603 + ... + 29342311.

It is an arithmetic number, because the mean of its divisors is an integer number (698588389620).

Almost surely, 2^{10200122220013} is an apocalyptic number.

It is an amenable number.

10200122220013 is a deficient number, since it is larger than the sum of its proper divisors (977292013907).

10200122220013 is a wasteful number, since it uses less digits than its factorization.

10200122220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361628.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10200122220013 its reverse (31002222100201), we get a palindrome (41202344320214).

The spelling of 10200122220013 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand, thirteen".