Search a number
-
+
10122010201229 is a prime number
BaseRepresentation
bin1001001101001011011011…
…0100101000110010001101
31022211122200021221200000012
42103102312310220302031
52311314334102414404
633305553131043005
72063201564056553
oct223226664506215
938748607850005
1010122010201229
1132527a1973073
1211758688a0465
1358566994c274
1426dc9d427bd3
1512846b623a6e
hex934b6d28c8d

10122010201229 has 2 divisors, whose sum is σ = 10122010201230. Its totient is φ = 10122010201228.

The previous prime is 10122010201151. The next prime is 10122010201267. The reversal of 10122010201229 is 92210201022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8400154483204 + 1721855718025 = 2898302^2 + 1312195^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122010201229 - 240 = 9022498573453 is a prime.

It is a super-2 number, since 2×101220102012292 (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 (10122010201829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061005100614 + 5061005100615.

It is an arithmetic number, because the mean of its divisors is an integer number (5061005100615).

Almost surely, 210122010201229 is an apocalyptic number.

It is an amenable number.

10122010201229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122010201229 is an equidigital number, since it uses as much as digits as its factorization.

10122010201229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10122010201229 in words is "ten trillion, one hundred twenty-two billion, ten million, two hundred one thousand, two hundred twenty-nine".