10101200010001 has 2 divisors, whose sum is σ = 10101200010002. Its totient is φ = 10101200010000.

The previous prime is 10101200009993. The next prime is 10101200010017. The reversal of 10101200010001 is 10001000210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9796424245776 + 304775764225 = 3129924^2 + 552065^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101200010001 - 2³ = 10101200009993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101200010091) 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 as a sum of consecutive naturals, namely, 5050600005000 + 5050600005001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050600005001).

Almost surely, 2^{10101200010001} is an apocalyptic number.

It is an amenable number.

10101200010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101200010001 is an equidigital number, since it uses as much as digits as its factorization.

10101200010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10101200010001 its reverse (10001000210101), we get a palindrome (20102200220102).

The spelling of 10101200010001 in words is "ten trillion, one hundred one billion, two hundred million, ten thousand, one".