Search a number
-
+
125000001102101 is a prime number
BaseRepresentation
bin11100011010111111010100…
…101010011010000100010101
3121101120212211222222011011012
4130122333110222122010111
5112341000000240231401
61121504112513022005
735220644361256406
oct3432772452320425
9541525758864135
10125000001102101
11369132259737a4
1212029a07554905
1354995ac7b8768
1422c2064a219ad
15e6b80bee38bb
hex71afd4a9a115

125000001102101 has 2 divisors, whose sum is σ = 125000001102102. Its totient is φ = 125000001102100.

The previous prime is 125000001102091. The next prime is 125000001102121. The reversal of 125000001102101 is 101201100000521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111753123682225 + 13246877419876 = 10571335^2 + 3639626^2 .

It is an emirp because it is prime and its reverse (101201100000521) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125000001102101 is a prime.

It is a super-2 number, since 2×1250000011021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125000001102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62500000551050 + 62500000551051.

It is an arithmetic number, because the mean of its divisors is an integer number (62500000551051).

Almost surely, 2125000001102101 is an apocalyptic number.

It is an amenable number.

125000001102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

125000001102101 is an equidigital number, since it uses as much as digits as its factorization.

125000001102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 125000001102101 its reverse (101201100000521), we get a palindrome (226201101102622).

The spelling of 125000001102101 in words is "one hundred twenty-five trillion, one million, one hundred two thousand, one hundred one".