Search a number
-
+
10201111210021 is a prime number
BaseRepresentation
bin1001010001110010000110…
…0111000010100000100101
31100010012211222110020220111
42110130201213002200211
52314113333432210041
633410154212133021
72102002021413544
oct224344147024045
940105758406814
1010201111210021
1132832a3376806
121189063607171
1358cc64751904
14273a44a2a15b
1512a54ac14981
hex947219c2825

10201111210021 has 2 divisors, whose sum is σ = 10201111210022. Its totient is φ = 10201111210020.

The previous prime is 10201111210001. The next prime is 10201111210091. The reversal of 10201111210021 is 12001211110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9002316148996 + 1198795061025 = 3000386^2 + 1094895^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201111210021 - 27 = 10201111209893 is a prime.

It is a super-2 number, since 2×102011112100212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201111209983 and 10201111210010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201111210001) 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, 5100555605010 + 5100555605011.

It is an arithmetic number, because the mean of its divisors is an integer number (5100555605011).

Almost surely, 210201111210021 is an apocalyptic number.

It is an amenable number.

10201111210021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201111210021 is an equidigital number, since it uses as much as digits as its factorization.

10201111210021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201111210021 its reverse (12001211110201), we get a palindrome (22202322320222).

The spelling of 10201111210021 in words is "ten trillion, two hundred one billion, one hundred eleven million, two hundred ten thousand, twenty-one".