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101202200117 is a prime number
BaseRepresentation
bin101111001000000011…
…1110000011000110101
3100200012221210102202222
41132100013300120311
53124230230400432
6114254110212125
710211612336054
oct1362007603065
9320187712688
10101202200117
1139a13004917
12177444b4045
13970a8c4465
144c809a439b
152974a5c112
hex17901f0635

101202200117 has 2 divisors, whose sum is σ = 101202200118. Its totient is φ = 101202200116.

The previous prime is 101202200101. The next prime is 101202200123. The reversal of 101202200117 is 711002202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56017895761 + 45184304356 = 236681^2 + 212566^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202200117 - 24 = 101202200101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202200095 and 101202200104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202220117) 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, 50601100058 + 50601100059.

It is an arithmetic number, because the mean of its divisors is an integer number (50601100059).

Almost surely, 2101202200117 is an apocalyptic number.

It is an amenable number.

101202200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202200117 is an equidigital number, since it uses as much as digits as its factorization.

101202200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 101202200117 its reverse (711002202101), we get a palindrome (812204402218).

The spelling of 101202200117 in words is "one hundred one billion, two hundred two million, two hundred thousand, one hundred seventeen".