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101213103209 is a prime number
BaseRepresentation
bin101111001000011000…
…1010110010001101001
3100200020201022101000012
41132100301112101221
53124241023300314
6114255140021305
710212104116361
oct1362061262151
9320221271005
10101213103209
1139a19181539
1217748091835
13970cc410aa
144c822019a1
1529759b293e
hex1790c56469

101213103209 has 2 divisors, whose sum is σ = 101213103210. Its totient is φ = 101213103208.

The previous prime is 101213103163. The next prime is 101213103239. The reversal of 101213103209 is 902301312101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100617743209 + 595360000 = 317203^2 + 24400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101213103209 is a prime.

It is a super-2 number, since 2×1012131032092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101213103239) 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, 50606551604 + 50606551605.

It is an arithmetic number, because the mean of its divisors is an integer number (50606551605).

Almost surely, 2101213103209 is an apocalyptic number.

It is an amenable number.

101213103209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213103209 is an equidigital number, since it uses as much as digits as its factorization.

101213103209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 101213103209 in words is "one hundred one billion, two hundred thirteen million, one hundred three thousand, two hundred nine".