10200313112101 has 6 divisors (see below), whose sum is σ = 11865670354950. Its totient is φ = 8743125524616.

The previous prime is 10200313112089. The next prime is 10200313112141. The reversal of 10200313112101 is 10121131300201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8412407172225 + 1787905939876 = 2900415^2 + 1337126^2 .

It is not a de Polignac number, because 10200313112101 - 2²³ = 10200304723493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200313112141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104084827626 + ... + 104084827723.

It is an arithmetic number, because the mean of its divisors is an integer number (1977611725825).

Almost surely, 2^{10200313112101} is an apocalyptic number.

It is an amenable number.

10200313112101 is a deficient number, since it is larger than the sum of its proper divisors (1665357242849).

10200313112101 is an equidigital number, since it uses as much as digits as its factorization.

10200313112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208169655363 (or 208169655356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10200313112101 its reverse (10121131300201), we get a palindrome (20321444412302).

The spelling of 10200313112101 in words is "ten trillion, two hundred billion, three hundred thirteen million, one hundred twelve thousand, one hundred one".