10101200010002 has 8 divisors (see below), whose sum is σ = 15437683034316. Its totient is φ = 4955305665232.

The previous prime is 10101200010001. The next prime is 10101200010017. The reversal of 10101200010002 is 20001000210101.

It can be written as a sum of positive squares in 2 ways, for example, as 8991188157961 + 1110011852041 = 2998531^2 + 1053571^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10101200010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47647169753 + ... + 47647169964.

Almost surely, 2^{10101200010002} is an apocalyptic number.

10101200010002 is a deficient number, since it is larger than the sum of its proper divisors (5336483024314).

10101200010002 is an equidigital number, since it uses as much as digits as its factorization.

10101200010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95294339772.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101200010002 its reverse (20001000210101), we get a palindrome (30102200220103).

It can be divided in two parts, 10101 and 200010002, that multiplied together give a palindrome (2020301030202).

The spelling of 10101200010002 in words is "ten trillion, one hundred one billion, two hundred million, ten thousand, two".