100013202101201 has 2 divisors, whose sum is σ = 100013202101202. Its totient is φ = 100013202101200.

The previous prime is 100013202101129. The next prime is 100013202101221. The reversal of 100013202101201 is 102101202310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86170821414976 + 13842380686225 = 9282824^2 + 3720535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013202101201 is a prime.

It is a super-2 number, since 2×100013202101201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100013202101221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006601050600 + 50006601050601.

It is an arithmetic number, because the mean of its divisors is an integer number (50006601050601).

Almost surely, 2^{100013202101201} is an apocalyptic number.

It is an amenable number.

100013202101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013202101201 is an equidigital number, since it uses as much as digits as its factorization.

100013202101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100013202101201 its reverse (102101202310001), we get a palindrome (202114404411202).

The spelling of 100013202101201 in words is "one hundred trillion, thirteen billion, two hundred two million, one hundred one thousand, two hundred one".