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100121311093 is a prime number
BaseRepresentation
bin101110100111110110…
…0011111011101110101
3100120102121220120210011
41131033230133131311
53120022023423333
6113554535100221
710143046050106
oct1351754373565
9316377816704
10100121311093
1139508962a01
12174a2511671
1395979a535b
144bbb1dc3ad
15290ebed9cd
hex174fb1f775

100121311093 has 2 divisors, whose sum is σ = 100121311094. Its totient is φ = 100121311092.

The previous prime is 100121311033. The next prime is 100121311127. The reversal of 100121311093 is 390113121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63664373124 + 36456937969 = 252318^2 + 190937^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121311093 - 221 = 100119213941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121311033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060655546 + 50060655547.

It is an arithmetic number, because the mean of its divisors is an integer number (50060655547).

Almost surely, 2100121311093 is an apocalyptic number.

It is an amenable number.

100121311093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121311093 is an equidigital number, since it uses as much as digits as its factorization.

100121311093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 100121311093 its reverse (390113121001), we get a palindrome (490234432094).

The spelling of 100121311093 in words is "one hundred billion, one hundred twenty-one million, three hundred eleven thousand, ninety-three".