10202200100213 has 32 divisors (see below), whose sum is σ = 11295770112000. Its totient is φ = 9137344708800.

The previous prime is 10202200100149. The next prime is 10202200100227. The reversal of 10202200100213 is 31200100220201.

It is a happy number.

It is not a de Polignac number, because 10202200100213 - 2⁶ = 10202200100149 is a prime.

It is a super-2 number, since 2×10202200100213² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202200100243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377691878 + ... + 377718888.

It is an arithmetic number, because the mean of its divisors is an integer number (352992816000).

Almost surely, 2^{10202200100213} is an apocalyptic number.

It is an amenable number.

10202200100213 is a deficient number, since it is larger than the sum of its proper divisors (1093570011787).

10202200100213 is a wasteful number, since it uses less digits than its factorization.

10202200100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28913.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10202200100213 its reverse (31200100220201), we get a palindrome (41402300320414).

The spelling of 10202200100213 in words is "ten trillion, two hundred two billion, two hundred million, one hundred thousand, two hundred thirteen".