Search a number
-
+
10220112121 is a prime number
BaseRepresentation
bin10011000010010101…
…01000100011111001
3222101020221111012011
421201022220203321
5131412322041441
64410044245521
7511156343152
oct114112504371
928336844164
1010220112121
114374a9455a
121b928408a1
13c6b496c2b
146cd49c929
153ec38b581
hex2612a88f9

10220112121 has 2 divisors, whose sum is σ = 10220112122. Its totient is φ = 10220112120.

The previous prime is 10220112079. The next prime is 10220112131. The reversal of 10220112121 is 12121102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6740410000 + 3479702121 = 82100^2 + 58989^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220112121 - 233 = 1630177529 is a prime.

It is a super-2 number, since 2×102201121212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10220112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110056060 + 5110056061.

It is an arithmetic number, because the mean of its divisors is an integer number (5110056061).

Almost surely, 210220112121 is an apocalyptic number.

It is an amenable number.

10220112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220112121 is an equidigital number, since it uses as much as digits as its factorization.

10220112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10220112121 its reverse (12121102201), we get a palindrome (22341214322).

It can be divided in two parts, 102201 and 12121, that multiplied together give a palindrome (1238778321).

The spelling of 10220112121 in words is "ten billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-one".