10002101200001 has 2 divisors, whose sum is σ = 10002101200002. Its totient is φ = 10002101200000.

The previous prime is 10002101199941. The next prime is 10002101200061. The reversal of 10002101200001 is 10000210120001.

It is a balanced prime because it is at equal distance from previous prime (10002101199941) and next prime (10002101200061).

It can be written as a sum of positive squares in only one way, i.e., 9921391230976 + 80709969025 = 3149824^2 + 284095^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002101200001 - 2¹⁴ = 10002101183617 is a prime.

It is a super-2 number, since 2×10002101200001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002101200061) 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 as a sum of consecutive naturals, namely, 5001050600000 + 5001050600001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050600001).

Almost surely, 2^{10002101200001} is an apocalyptic number.

It is an amenable number.

10002101200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002101200001 is an equidigital number, since it uses as much as digits as its factorization.

10002101200001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10002101200001 its reverse (10000210120001), we get a palindrome (20002311320002).

It can be divided in two parts, 1000210120000 and 1, that added together give a palindrome (1000210120001).

The spelling of 10002101200001 in words is "ten trillion, two billion, one hundred one million, two hundred thousand, one".