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10000101221311 is a prime number
BaseRepresentation
bin1001000110000101010001…
…1110110010001110111111
31022102000000020200211100211
42101201110132302032333
52302320201403040221
633133552202333251
72051324554614205
oct221412436621677
938360006624324
1010000101221311
11320602348a0a3
1211561057ba227
1357700c108ba6
1426801675b075
151251d3c896e1
hex918547b23bf

10000101221311 has 2 divisors, whose sum is σ = 10000101221312. Its totient is φ = 10000101221310.

The previous prime is 10000101221293. The next prime is 10000101221339. The reversal of 10000101221311 is 11312210100001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101221311 - 223 = 10000092832703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000101221291 and 10000101221300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101221611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050610655 + 5000050610656.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050610656).

Almost surely, 210000101221311 is an apocalyptic number.

10000101221311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101221311 is an equidigital number, since it uses as much as digits as its factorization.

10000101221311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10000101221311 its reverse (11312210100001), we get a palindrome (21312311321312).

The spelling of 10000101221311 in words is "ten trillion, one hundred one million, two hundred twenty-one thousand, three hundred eleven".