10200212100101 has 8 divisors (see below), whose sum is σ = 10227780550680. Its totient is φ = 10172644837632.

The previous prime is 10200212100049. The next prime is 10200212100131. The reversal of 10200212100101 is 10100121200201.

It can be written as a sum of positive squares in 4 ways, for example, as 763482750625 + 9436729349476 = 873775^2 + 3071926^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200212100101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200212100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18501041 + ... + 19044393.

It is an arithmetic number, because the mean of its divisors is an integer number (1278472568835).

Almost surely, 2^{10200212100101} is an apocalyptic number.

It is an amenable number.

10200212100101 is a deficient number, since it is larger than the sum of its proper divisors (27568450579).

10200212100101 is an equidigital number, since it uses as much as digits as its factorization.

10200212100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594055.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200212100101 its reverse (10100121200201), we get a palindrome (20300333300302).

The spelling of 10200212100101 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred thousand, one hundred one".