10202200010113 has 8 divisors (see below), whose sum is σ = 10330123160448. Its totient is φ = 10074396028464.

The previous prime is 10202200010071. The next prime is 10202200010117. The reversal of 10202200010113 is 31101000220201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202200010113 - 2²¹ = 10202197912961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202200010093 and 10202200010102.

It is not an unprimeable number, because it can be changed into a prime (10202200010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29619870 + ... + 29962327.

It is an arithmetic number, because the mean of its divisors is an integer number (1291265395056).

Almost surely, 2^{10202200010113} is an apocalyptic number.

It is an amenable number.

10202200010113 is a deficient number, since it is larger than the sum of its proper divisors (127923150335).

10202200010113 is an equidigital number, since it uses as much as digits as its factorization.

10202200010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59584343.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10202200010113 its reverse (31101000220201), we get a palindrome (41303200230314).

The spelling of 10202200010113 in words is "ten trillion, two hundred two billion, two hundred million, ten thousand, one hundred thirteen".