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210002013213101 is a prime number
BaseRepresentation
bin101111101111111011100111…
…011001100101000110101101
31000112112222220101002010120222
4233233323213121211012231
5210011133110340304401
62022345332032421125
762143100441005064
oct5757734731450655
91015488811063528
10210002013213101
1160a0539879914a
121b6779693a77a5
139024149539955
1439c021a28b1db
15194297ab04c1b
hexbefee76651ad

210002013213101 has 2 divisors, whose sum is σ = 210002013213102. Its totient is φ = 210002013213100.

The previous prime is 210002013213071. The next prime is 210002013213137. The reversal of 210002013213101 is 101312310200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208043410164100 + 1958603049001 = 14423710^2 + 1399501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210002013213101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210002013213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210002013216101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001006606550 + 105001006606551.

It is an arithmetic number, because the mean of its divisors is an integer number (105001006606551).

Almost surely, 2210002013213101 is an apocalyptic number.

It is an amenable number.

210002013213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002013213101 is an equidigital number, since it uses as much as digits as its factorization.

210002013213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 210002013213101 its reverse (101312310200012), we get a palindrome (311314323413113).

The spelling of 210002013213101 in words is "two hundred ten trillion, two billion, thirteen million, two hundred thirteen thousand, one hundred one".