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101213122273 is a prime number
BaseRepresentation
bin101111001000011000…
…1011010111011100001
3100200020201100100011021
41132100301122323201
53124241024403043
6114255140245441
710212104226064
oct1362061327341
9320221310137
10101213122273
1139a1919489a
12177480a0881
13970cc49983
144c822088db
1529759b83ed
hex1790c5aee1

101213122273 has 2 divisors, whose sum is σ = 101213122274. Its totient is φ = 101213122272.

The previous prime is 101213122249. The next prime is 101213122321. The reversal of 101213122273 is 372221312101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640096784 + 20573025489 = 283972^2 + 143433^2 .

It is a cyclic number.

It is not a de Polignac number, because 101213122273 - 29 = 101213121761 is a prime.

It is a super-2 number, since 2×1012131222732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101213122973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606561136 + 50606561137.

It is an arithmetic number, because the mean of its divisors is an integer number (50606561137).

Almost surely, 2101213122273 is an apocalyptic number.

It is an amenable number.

101213122273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213122273 is an equidigital number, since it uses as much as digits as its factorization.

101213122273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 101213122273 its reverse (372221312101), we get a palindrome (473434434374).

The spelling of 101213122273 in words is "one hundred one billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred seventy-three".