10010201101 has 2 divisors, whose sum is σ = 10010201102. Its totient is φ = 10010201100.

The previous prime is 10010201099. The next prime is 10010201147. The reversal of 10010201101 is 10110201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9520685476 + 489515625 = 97574^2 + 22125^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010201101 - 2¹ = 10010201099 is a prime.

It is a super-2 number, since 2×10010201101² (a number of 21 digits) contains 22 as substring.

Together with 10010201099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010201401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005100550 + 5005100551.

It is an arithmetic number, because the mean of its divisors is an integer number (5005100551).

Almost surely, 2^10010201101 is an apocalyptic number.

It is an amenable number.

10010201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010201101 is an equidigital number, since it uses as much as digits as its factorization.

10010201101 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 10010201101 its reverse (10110201001), we get a palindrome (20120402102).

The spelling of 10010201101 in words is "ten billion, ten million, two hundred one thousand, one hundred one".