10102200413321 has 16 divisors (see below), whose sum is σ = 10855792281600. Its totient is φ = 9378952007568.

The previous prime is 10102200413317. The next prime is 10102200413429. The reversal of 10102200413321 is 12331400220101.

It is a cyclic number.

It is not a de Polignac number, because 10102200413321 - 2² = 10102200413317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102200413293 and 10102200413302.

It is not an unprimeable number, because it can be changed into a prime (10102200413821) 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, 47009951 + ... + 47224356.

It is an arithmetic number, because the mean of its divisors is an integer number (678487017600).

Almost surely, 2^{10102200413321} is an apocalyptic number.

It is an amenable number.

10102200413321 is a deficient number, since it is larger than the sum of its proper divisors (753591868279).

10102200413321 is an equidigital number, since it uses as much as digits as its factorization.

10102200413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94234468.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10102200413321 its reverse (12331400220101), we get a palindrome (22433600633422).

The spelling of 10102200413321 in words is "ten trillion, one hundred two billion, two hundred million, four hundred thirteen thousand, three hundred twenty-one".