Search a number
-
+
10121202122069 is a prime number
BaseRepresentation
bin1001001101001000011010…
…1010000011110101010101
31022211120120222101222210102
42103102012222003311111
52311311210220401234
633305341023103445
72063142552363623
oct223220652036525
938746528358712
1010121202122069
113252417814255
121175682141b85
1358556b3cac0c
1426dc23d98513
15128420702c7e
hex93486a83d55

10121202122069 has 2 divisors, whose sum is σ = 10121202122070. Its totient is φ = 10121202122068.

The previous prime is 10121202121997. The next prime is 10121202122099. The reversal of 10121202122069 is 96022120212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9861421284100 + 259780837969 = 3140290^2 + 509687^2 .

It is an emirp because it is prime and its reverse (96022120212101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121202122069 - 240 = 9021690494293 is a prime.

It is a super-2 number, since 2×101212021220692 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121202122099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060601061034 + 5060601061035.

It is an arithmetic number, because the mean of its divisors is an integer number (5060601061035).

Almost surely, 210121202122069 is an apocalyptic number.

It is an amenable number.

10121202122069 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121202122069 is an equidigital number, since it uses as much as digits as its factorization.

10121202122069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10121202122069 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, sixty-nine".